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Decomposition integrals for interval-valued functions. (English) Zbl 1512.28010

Cornejo, María Eugenia (ed.) et al., Computational intelligence and mathematics for tackling complex problems 2. Selected papers based on the presentations at the 11th European symposium on computational intelligence and mathematics, Toledo, Spain, October 2–5, 2019. Cham: Springer. Stud. Comput. Intell. 955, 183-189 (2022).

MSC: 28B20 26A42

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Deng, Liuchun; Khan, M. Ali; Rajan, Ashvin V.

Li-Yorke chaos almost everywhere: on the pervasiveness of disjoint extremally scrambled sets. (English) Zbl 1503.37052

Bull. Aust. Math. Soc. 106, No. 1, 132-143 (2022).

MSC: 37E05

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Bobok, Jozef; Činč, Jernej; Oprocha, Piotr; Troubetzkoy, Serge

Periodic points and shadowing for generic Lebesgue measure-preserving interval maps. (English) Zbl 1504.37043

Nonlinearity 35, No. 5, 2535-2558 (2022).

MSC: 37E05 37E10 37A05 37C25 37C20 37C50 37B65

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Lebesgue measure preserving Thompson monoid and its properties of decomposition and generators. (English) Zbl 1506.37003

Undergrad. Math J. 22, No. 1, Paper No. 8, 28 p. (2021).

MSC: 37A15 20M10

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Sha, Zehao; Ye, Guoju; Zhao, Dafang; Liu, Wei

On interval-valued \(\mathbb{K}\)-Riemann integral and Hermite-Hadamard type inequalities. (English) Zbl 1484.26092

AIMS Math. 6, No. 2, 1276-1295 (2021).

MSC: 26D15 26A51 26E25 26A42 26E50

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Croitoru, Anca; Gavriluţ, Alina; Iosif, Alina; Sambucini, Anna Rita

A note on convergence results for varying interval valued multisubmeasures. (English) Zbl 1495.28014

Math. Found. Comput. 4, No. 4, 299-310 (2021).

Reviewer: Mohamed Zohry (Tétouan)

MSC: 28B20 28C15 49J53

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Motornyi, V. P.; Ovsyannikov, D. A.

Estimates of the error of interval quadrature formulas on some classes of differentiable functions. (English) Zbl 1492.41011

Res. Math. 28, No. 1, 12-21 (2020).

MSC: 41A55 26A42

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Sun, Xiang; Sun, Yeneng; Yu, Haomiao

The individualistic foundation of equilibrium distribution. (English) Zbl 1452.91196

J. Econ. Theory 189, Article ID 105083, 28 p. (2020).

MSC: 91B52 91A07 91A80

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Uribe A., Alejandro; Visscher, Daniel A.

Explorations in analysis, topology, and dynamics. An introduction to abstract mathematics. (English) Zbl 1475.26003

Pure and Applied Undergraduate Texts 44. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5270-4/pbk; 978-1-4704-5685-6/ebook). xiii, 178 p. (2020).

Reviewer: Miguel Ottina (Mendoza)

MSC: 26-01 26A03 26A06 26A24 26A42 26A18 37-01 37E05

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Fang, Lulu; Wu, Min; Li, Bing

Approximation orders of real numbers by \(\beta\)-expansions. (English) Zbl 1452.11097

Math. Z. 296, No. 1-2, 13-40 (2020).

Reviewer: Symon Serbenyuk (Kyïv)

MSC: 11K55 28A80 37B10 37E05 37A25 37A50 28D05 60G10

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Akhadkulov, Habibulla; Jiang, Yunping

Volume of the hyperbolic Cantor sets. (English) Zbl 1447.37052

Dyn. Syst. 35, No. 2, 185-196 (2020).

Reviewer: Ivan Podvigin (Novosibirsk)

MSC: 37E05 26A16 26A18 28A12

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**The equivalence of \(R^_\delta\)-integral to \(D^_\delta\)-integral.** (English) Zbl 1426.26022

J. Anal. Appl. 17, No. 2, 107-118 (2019).

MSC: 26A39 26A42

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Rajan, Ashvin Varada

Positive measure scrambled sets of some chaotic functions. (English) Zbl 1390.37019

Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 4, Article ID 1850052, 9 p. (2018).

MSC: 37B10 37E05 28D05

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Zheng, Peng; Shi, Xiquan

The use of the dyadic partition in elementary real analysis. (English) Zbl 1374.26004

J. Comput. Appl. Math. 329, 344-352 (2018).

MSC: 26A06 26A42

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Qiao, Lei; Yu, Haomiao; Zhang, Zhixiang

On the closed-graph property of the Nash equilibrium correspondence in a large game: a complete characterization. (English) Zbl 1394.91028

Games Econ. Behav. 99, 89-98 (2016).

MSC: 91A07 91A10

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Oprocha, Piotr; Potorski, Paweł

Topological mixing, knot points and bounds of topological entropy. (English) Zbl 1378.37034

Discrete Contin. Dyn. Syst., Ser. B 20, No. 10, 3547-3564 (2015).

Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray)

MSC: 37B40 37E05 37A05

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Nizhnik, I. L.; Nizhnik, L. P.

Invariant measures of mappings of the unit segment on itself. (Russian. English summary) Zbl 1340.37031

Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 2, 307-314 (2015).

MSC: 37C40 37C05 37E05

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Agachev, Yuriĭ Romanovich; Leonov, Aleksandr Ivanovich; Semenov, Ivan Petrovich

Solution of a class of integral equations with fixed singularities in the kernel by the mechanical quadrature method. (Russian. English summary) Zbl 1354.65273

Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 156, No. 2, 5-15 (2014).

MSC: 65R20 45B05

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Zhang, Zufeng; Ning, Qun; Wang, Hongyan

Mild solutions of fractional evolution equations on an unbounded interval. (English) Zbl 1343.34031

Adv. Difference Equ. 2014, Paper No. 27, 10 p. (2014).

MSC: 34A08 26A33 26A42

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Riečan, Beloslav

On the Kluvánek construction of the Lebesgue integral. (English) Zbl 1292.28007

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 99-105 (2013).

MSC: 28A25

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Chung, Yong Moo; Takahasi, Hiroki

Large deviation principle for Benedicks-Carleson quadratic maps. (English) Zbl 1276.37031

Commun. Math. Phys. 315, No. 3, 803-826 (2012).

Reviewer: Antonio Linero Bas (Murcia)

MSC: 37E05 37C40 37A99 37B99

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Optimal quality of exceptional points for the Lebesgue density theorem. (English) Zbl 1299.28001

Acta Math. Hung. 134, No. 3, 209-268 (2012).

MSC: 28A05

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Khan, M. Ali; Zhang, Yongchao

Set-valued functions, Lebesgue extensions and saturated probability spaces. (English) Zbl 1267.28016

Adv. Math. 229, No. 2, 1080-1103 (2012).

MSC: 28C99 28E05 91A07 91A44

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Bobok, Jozef; Soukenka, Martin

Irreducibility, infinite level sets, and small entropy. (English) Zbl 1271.37022

Real Anal. Exch. 36(2010-2011), No. 2, 449-462 (2011).

MSC: 37B40 26A30

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Sun, Yuangong; Kong, Qingkai

Interval criteria for forced oscillation with nonlinearities given by Riemann-Stieltjes integrals. (English) Zbl 1228.34055

Comput. Math. Appl. 62, No. 1, 243-252 (2011).

MSC: 34C15 34K11 26A42

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Szenes, András

Exceptional points for Lebesgue’s density theorem on the real line. (English) Zbl 1205.28001

Adv. Math. 226, No. 1, 764-778 (2011).

MSC: 28A05 28A12

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An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.

Well conditioned spherical designs for integration and interpolation on the two-sphere. (English) Zbl 1232.65043

SIAM J. Numer. Anal. 48, No. 6, 2135-2157 (2010).

Reviewer: Dumitru Acu (Sibiu)

MSC: 65D32 65D05 65G30 65H10

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Zhang, Ruojun; Wang, Linshan

Global exponential robust stability of interval cellular neural networks with S-type distributed delays. (English) Zbl 1185.34110

Math. Comput. Modelling 50, No. 3-4, 380-385 (2009).

MSC: 34K20 34D09

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On solvability of boundary value problems on an infinity interval for nonlinear two dimensional generalized and impulsive differential systems. (English) Zbl 1184.34036

Mem. Differ. Equ. Math. Phys. 47, 159-167 (2009).

MSC: 34B37 34B40

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A computable approach to measure and integration theory. (English) Zbl 1169.03032

Inf. Comput. 207, No. 5, 642-659 (2009).

MSC: 03D45 03D80 28E15

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Jenkinson, Oliver

On sums of powers of inverse complete quotients. (English) Zbl 1130.26011

Proc. Am. Math. Soc. 136, No. 3, 1023-1027 (2008).

Reviewer: János Aczél (Waterloo/Ontario)

MSC: 26D10 11A55 37D20 37E05

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Rough functions: \(p\)-variation, calculus, and index estimation. (English) Zbl 1155.26006

Lith. Math. J. 46, No. 1, 102-128 (2006); and Liet. Mat. Rink. 46, No. 1, 123-134 (2006).

Reviewer: Octavian Lipovan (Timişoara)

MSC: 26A42 47H30 60G07

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Characterizing chaotic processes that generate uniform invariant density. (English) Zbl 1101.37024

Chaos Solitons Fractals 25, No. 2, 449-460 (2005).

Reviewer: Messoud A. Efendiev (Berlin)

MSC: 37D45 37E05 37A05

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Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed points. (English) Zbl 1069.37035

Ergodic Theory Dyn. Syst. 24, No. 2, 525-545 (2004).

Reviewer: Antonio Linero Bas (Murcia)

MSC: 37E05 37A25 37A30 37C25 37C40

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Sinha, V.; Rana, Inder K.

On the continuity of associated interval functions. (English) Zbl 1073.26005

Real Anal. Exch. 29(2003-2004), No. 2, 979-982 (2004).

MSC: 26A42

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Some new results on the continuity and differentiability of functions of several real variables. (English) Zbl 1076.26009

Proc. A. Razmadze Math. Inst. 134, 138 p. (2004).

Reviewer: Solomon Marcus (Bucureşti)

MSC: 26B05 26B30 26B15 26-02

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Balcerzak, M.; Bartoszewicz, A.; Rzepecka, J.; Wroński, S.

Marczewski fields and ideals. (English) Zbl 1009.28001

Real Anal. Exch. 26(2000-2001), No. 2, 703-715 (2001).

MSC: 28A05 03E15 54A10 54E52

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A nonmeasurable partition of the reals. (English) Zbl 0987.28001

Bull. Belg. Math. Soc. - Simon Stevin 8, No. 1, 83-86 (2001).

MSC: 28A05 28A12

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Balibrea, Francisco; Jiménéz López, Víctor

The measure of scrambled sets: A survey. (English) Zbl 0967.37021

Acta Univ. M. Belii, Ser. Math. 7, 3-11 (1999).

Reviewer: J.Smítal (Opava)

MSC: 37D45 37E05 26A18 54H20 37-02

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Measure of minimal sets of polymodal maps. (English) Zbl 0851.58015

Ergodic Theory Dyn. Syst. 16, No. 1, 159-178 (1996).

Reviewer: G.Keller (Erlangen)

MSC: 37E99 37C70 54C70

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Graczyk, J.; Jonker, L. B.; Świątek, G.; Tangerman, F. M.; Veerman, J. J. P.

Differentiable circle maps with a flat interval. (English) Zbl 0840.58038

Commun. Math. Phys. 173, No. 3, 599-622 (1995).

MSC: 37F99 37A99 28A78

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Two-sided tests and one-sided confidence bounds. (English) Zbl 0818.62021

Ann. Stat. 22, No. 3, 1502-1516 (1994).

MSC: 62F03 62F25

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A flexible minimax theorem. (English) Zbl 0818.49007

Acta Math. Hung. 63, No. 2, 119-132 (1994).

Reviewer: N.Novikova (Moskva)

MSC: 49J35

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Vomişescu, Romeo

Construction of a measure on a Boolean algebra of \(B\)-intervals. (English) Zbl 0887.28002

Gen. Math. 2, No. 4, 187-200 (1994).

Reviewer: O.Costinescu (Iaşi)

MSC: 28A60 26A42

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Kurzweil, Jaroslav; Jarník, Jiří

Differentiability and integrability in \(n\) dimensions with respect to \(\alpha\)-regular intervals. (English) Zbl 0764.28005

Result. Math. 21, No. 1-2, 138-151 (1992).

Reviewer: J.Mawhin (Louvain-La-Neuve)

MSC: 28A15 26B99 26A42 26A39

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Eichenauer-Herrmann, Jürgen; Fieger, Werner

Minimax estimation under convex loss when the parameter interval is bounded. (English) Zbl 0743.62006

Metrika 39, No. 1, 27-43 (1992).

MSC: 62C20 62F10

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Full Text: DOI EuDML

A modification of Shelah’s oracle-c.c. with applications. (English) Zbl 0753.03021

Trans. Am. Math. Soc. 329, No. 1, 325-356 (1992).

Reviewer: M.Weese (Berlin)

MSC: 03E35 06E05 28A51

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On Sierpiński’s nonmeasurable set. (English) Zbl 0757.28002

Fundam. Math. 139, No. 1, 17-22 (1991).

Reviewer: Z.Grande (Bydgoszcz)

MSC: 28A05 28A35

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Molodtsov, D. A.

On the general theory of abstract interval integral. (Russian) Zbl 0760.28009

Soobshch. Prikl. Mat., Akad. Nauk SSSR, Vychisl. Tsentr, Mosk. 1991, 36 p. (1991).

Reviewer: A.Nowak (Katowice)

MSC: 28B20 26E99

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Blokh, A. M.; Lyubich, M. Yu.

Typical behavior of the trajectories of transformations of a segment. (English. Russian original) Zbl 0696.58030

J. Sov. Math. 49, No. 4, 1037-1044 (1990); translation from Teor. Funkts., Funkts. Anal. Prilozh. 49, 5-16 (1988).

MSC: 37C70 37D45 37A99

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Gordon, Russell A.

The McShane integral of Banach-valued functions. (English) Zbl 0685.28003

Ill. J. Math. 34, No. 3, 557-567 (1990).

Reviewer: R.A.Gordon

MSC: 28B05 26A42

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Blokh, A. M.; Lyubich, M. Yu.

On typical behaviour of trajectories of transformations of a segment. (Russian) Zbl 0666.58031

Teor. Funkts., Funkts. Anal. Prilozh. 49, 5-16 (1988).

Reviewer: M.Yu.Lyubich

MSC: 37C70 37D45 37A99

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On a generalized multiple integral and the divergence theorem. (English) Zbl 0658.26008

Bull. Soc. Math. Belg., Sér. B 40, No. 1, 111-130 (1988).

Reviewer: J.Niewiarowski

MSC: 26A39 26A42

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Bogacka, Barbara

Interval Stieltjes integral. (English) Zbl 0621.26003

Interval and fuzzy mathematics, Proc. Polish Symp., Poznań/Pol. 1983, 27-33 (1985).

Reviewer: R.Krawczyk

MSC: 26A42 65G30 28B20

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Bounded variation and invariant measures. (English) Zbl 0575.28011

Stud. Math. 76, 69-80 (1983).

Reviewer: B.Riečan

MSC: 28D05

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Collet, P.; Eckmann, J.-P.

Positive Liapunov exponents and absolute continuity for maps of the interval. (English) Zbl 0532.28014

Ergodic Theory Dyn. Syst. 3, 13-46 (1983).

Reviewer: P. Collet, J.-P. Eckmann

MSC: 37D20 37E05 28D05 37A05

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Dubois, Didier; Prade, Henri

Towards fuzzy differential calculus. II: Integration on fuzzy intervals. (English) Zbl 0493.28003

Fuzzy Sets Syst. 8, 105-116 (1982).

MSC: 28B99 26A42 03E72

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Dubois, Didier; Prade, Henri

Towards fuzzy differential calculus. I: Integration of fuzzy mappings. (English) Zbl 0493.28002

Fuzzy Sets Syst. 8, 1-17 (1982).

MSC: 28B99 03E72 26A42 26B99

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Pesin, Ya. B.; Sinaj, Ya. G.

Hyperbolicity and stochasticity of dynamical systems. (English) Zbl 0561.58038

Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 2, 53-115 (1981).

MSC: 37D99 37D45 37C10

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Jakobson, M. V.

Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. (English) Zbl 0497.58017

Commun. Math. Phys. 81, 39-88 (1981).

MSC: 37A10 37D45 37D25 28D05 37E05

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The Riemann integral in constructive mathematics. (English) Zbl 0484.03034

Proc. Am. Math. Soc. 83, 839-840 (1981).

MSC: 03F65 26A42

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Misiurewicz, Michal

Absolutely continuous measures for certain maps of an interval. (English) Zbl 0477.58020

Publ. Math., Inst. Hautes Étud. Sci. 53, 17-51 (1981).

MSC: 37A99 37D45 28D20 54C70

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Frasca, Michele; Quattrocchi, Gaetano

Su alcune proprieta dell’integrale ordinario del calcolo delle variazioni preso nel senso di Weierstrass. (Italian) Zbl 0461.49025

Atti Semin. Mat. Fis. Univ. Modena 27, 225-246 (1978).

MSC: 49Q20 26B15

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Yakobson, M. V.

Topological and metric properties of one-dimensional endomorphisms. (English. Russian original) Zbl 0414.28022

Sov. Math., Dokl. 19, 1452-1456 (1978); translation from Dokl. Akad. Nauk SSSR 243, 866-869 (1978).

MSC: 28D10 28A15

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Ortiz, Eduardo L.

Polynomial condensation in one and several variables with applications. (English) Zbl 0438.65023

Topics in numerical analysis III, Proc. R. Irish Acad. Conf., Dublin 1976, 327-360 (1977).

MSC: 65D20 65D15 41A10 41A17 41A50 68Q25

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