Found 122 Documents (Results 1–100)
Operator Bohr-type inequalities. (English) Zbl 07859900
The sharp refined Bohr-Rogosinski inequalities for certain classes of harmonic mappings. (English) Zbl 1536.31001
Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex. (English) Zbl 1536.30083
Extremal problems in geometric function theory. (English. Russian original) Zbl 1529.30004
Russ. Math. Surv. 78, No. 2, 211-271 (2023); translation from Usp. Mat. Nauk 78, No. 2, 3-70 (2023).
Bohr type inequalities for the class of self-analytic maps on the unit disk. (English) Zbl 1526.30066
Bohr operator on operator-valued polyanalytic functions on simply connected domains. (English) Zbl 1530.47014
Bohr’s inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces. (English) Zbl 1523.32005
Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex. (English) Zbl 1520.30002
Bohr and Rogosinski inequalities for operator valued holomorphic functions. (English) Zbl 1516.46024
Reviewer: Pablo Galindo (Burjassot)
On the univalence of poly-analytic functions. (English) Zbl 1486.30129
MSC:
30G20
Some Bohr-type inequalities with one parameter for bounded analytic functions. (English) Zbl 1483.30006
Bohr-type inequalities for bounded analytic functions of Schwarz functions. (English) Zbl 1525.30009
A Diophantine Ramsey theorem. (English) Zbl 1499.05607
Reviewer: Ko-Wei Lih (Taipei)
MSC:
05D10
Bohr inequalities in some classes of analytic functions. (English. Russian original) Zbl 1468.30008
J. Math. Sci., New York 252, No. 3, 360-373 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 69-83 (2018).
Reviewer: Agnieszka Wisniowska-Wajnryb (Rzeszów)
Bohr phenomenon for the special family of analytic functions and harmonic mappings. (English) Zbl 1461.30002
The Bohr inequality for holomorphic mappings with lacunary series in several complex variables. (English) Zbl 1436.32002
Improved version of Bohr’s inequality. (Version améliorée de l’inégalité de Bohr.) (English. French summary) Zbl 1432.30002
Reviewer: Vagia Vlachou (Rio)
Convexity properties and inequalities concerning the \((p, k)\)-Gamma function. (English) Zbl 1391.33005
Bohr inequality for odd analytic functions. (English) Zbl 1385.30003
Reviewer: Vagia Vlachou (Rio)
On the Bohr inequality. (English) Zbl 1370.30003
Govil, Narenda Kumar (ed.) et al., Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Cham: Springer (ISBN 978-3-319-49240-7/hbk; 978-3-319-49242-1/ebook). Springer Optimization and Its Applications 117, 269-300 (2017).
Bohr inequality for multiple operators. (English) Zbl 1363.47031
MSC:
47A63
A Bohr-Nikol’skii inequality. (English) Zbl 1337.26028
Reviewer: James Adedayo Oguntuase (Abeokuta)
Performance evaluation for a complex-valued function with an elliptic range of values of the second derivative. (Russian. English summary) Zbl 1374.26038
MSC:
26D10
\(L_p\)-inequalities for differences and derivatives of positive order for functions with spectrum in the ball or spherical layer. (English. Russian original) Zbl 1338.42032
Math. Notes 95, No. 3, 388-398 (2014); translation from Mat. Zametki 95, No. 3, 433-444 (2014).
Analog of an inequality of Bohr for integrals of functions from \({L^{p}}(\mathbb{R}^{n})\). I. (English) Zbl 1312.26042
MSC:
26D15
Analog of an inequality of Bohr for integrals of functions from \(L^{p}(R^{n})\). II. (English) Zbl 1311.26007
MSC:
26D15
On some inequalities for bounded linear operators. (Chinese. English summary) Zbl 1313.47035
MSC:
47A63
The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\). (English) Zbl 1331.46037
Reviewer: Daniel Núñez Alarcón (João Pessoa)
MSC:
46G25
Best \(L^1\) approximation of truncated functions, Whitney-type and Bohr-Favard-type inequalities. (Best \(L^1\) approximation of truncated functions, Whitney-type and Borh-Favard-type inequalities.) (English) Zbl 1324.41034
Reviewer: Radu Păltănea (Brasov)
On operator Bohr type inequalities. (English) Zbl 1311.47023
Reviewer: Takeaki Yamazaki (Kawagoe)
MSC:
47A63
On a generalization of an inequality of Bohr. (Russian. English summary) Zbl 1292.26050
MSC:
26D15
An inequality that subsumes the inequalities of Radon, Bohr, and Shannon. (English) Zbl 1370.26052
Reviewer: Alfred Witkowski (Bydgoszcz)
MSC:
26D15
Bohr’s phenomenon for analytic functions and the hyperbolic metric. (English) Zbl 1293.30007
Reviewer: Martin Chuaqui (Santiago de Chile)
MSC:
30B10
Inequalities in admissible spaces. (English) Zbl 1255.47020
MSC:
47A63
A Dunkl-Williams inequality and the generalized operator version. (English) Zbl 1253.26042
Bandle, Catherine (ed.) et al., Inequalities and Applications ’10. Dedicated to the memory of Wolfgang Walter. Selected papers of the 2nd conference on inequalities and applications, Hajdúszoboszló, Hungary, September 19–25, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0248-2/hbk; 978-3-0348-0249-9/ebook). ISNM. International Series of Numerical Mathematics 161, 137-148 (2012).
Bohr’s inequality revisited. (English) Zbl 1262.47027
Pardalos, Panos M. (ed.) et al., Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. New York, NY: Springer (ISBN 978-1-4614-3497-9/hbk; 978-1-4614-3498-6/ebook). Springer Optimization and Its Applications 68, 279-290 (2012).
Reviewer: V. Lokesha (Bangalore)
On Bohr’s inequalities. (English) Zbl 1262.47025
Pardalos, Panos M. (ed.) et al., Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. New York, NY: Springer (ISBN 978-1-4614-3497-9/hbk; 978-1-4614-3498-6/ebook). Springer Optimization and Its Applications 68, 147-160 (2012).
Reviewer: Maryam Khosravi (Kerman)
Extension of the Euler-Lagrange identity by superquadratic power functions. (English) Zbl 1244.26032
MSC:
26D15
Integral inequalities. (English) Zbl 1247.97028
An operator extension of the parallelogram law and related norm inequalities. (English) Zbl 1233.47013
Reviewer: Edward L. Pekarev (Odessa)
Bohr’s phenomenon for analytic functions into the exterior of a compact convex body. (English) Zbl 1214.30004
MSC:
30B10
Bohr’s phenomenon in subordination and bounded harmonic classes. (English) Zbl 1215.46018
Reviewer: Alan Gluchoff (Villanova)
Generalizations of Bohr’s inequality in Hilbert \(C^*\)-modules. (English) Zbl 1201.46052
Reviewer: Wenming Wu (Chongqing)
Operator theory on noncommutative domains. (English) Zbl 1194.47001
Mem. Am. Math. Soc. 964, vi, 124 p. (2010).
Reviewer: Brett Wick (Atlanta)
A Dunkl-Williams type inequality for absolute value operators. (English) Zbl 1195.26044
Reviewer: Sanja Varošanec (Zagreb)
Superquadracity, Bohr’s inequality and deviation from a mean value. (English) Zbl 1189.26034
MSC:
26D15
An operator extension of Bohr’s inequality. (English) Zbl 1239.47017
Reviewer: Jiangtao Yuan (Henan)
Inequalities for the \(C^{*}\)-valued norm on a Hilbert \(C^{*}\)-module. (English) Zbl 1201.46051
Reviewer: Maria Joiţa (Bucureşti)
On the parallelogram law and Bohr’s inequality in \(G\)-inner product spaces. (English) Zbl 1186.46023
Generalizations of Bohr inequality for Hilbert space operators. (English) Zbl 1170.26008
Reviewer: Sotiris K. Ntouyas (Ioannina)
MSC:
26D07
A new proof of an inequality of Bohr for Hilbert space operators. (English) Zbl 1162.47016
Reviewer: Takeaki Yamazaki (Yokohama)
On the order of magnitude of Dirichlet polynomials. (Sur l’ordre de grandeur des polynômes de Dirichlet.) (French) Zbl 1302.11068
Bohr’s inequalities in \(n\)-inner product spaces. (English) Zbl 1185.46012
Reviewer: V. Lokesha (Bangalore)
Hadamarad-Borel-Carathéodory and Bohr theorems for non-concentric disks. (English) Zbl 1162.30002
Reviewer: D. A. Brannan (Milton Keynes)
Sharp Bohr type real part estimates. (English) Zbl 1152.30002
Reviewer: Yinying Kong (Guangzhou)
Multivariable Bohr inequalities. (English) Zbl 1128.47009
Reviewer: Ilie Valuşescu (Bucureşti)
On the Bohr inequality of operators. (English) Zbl 1141.47015
Reviewer: Ameur Seddik (Jeddah)
Sharp real-part theorems. A unified approach. Translated from Russian and edited by T. Shaposhnikova. (English) Zbl 1117.30001
Lecture Notes in Mathematics 1903. Berlin: Springer (ISBN 978-3-540-69573-8/pbk). xvi, 140 p. (2007).
Reviewer: George Csordas (Honolulu)
On best localized bandlimited functions. (English. Russian original) Zbl 1132.41322
Lith. Math. J. 46, No. 4, 446-458 (2006); translation from Liet. Mat. Rink. 46, No. 4, 548-564 (2006).
MSC:
41A30
The Bohr inequality for Dirichlet series. (L’inégalité de Bohr pour les séries de Dirichlet.) (French) Zbl 1092.30003
Reviewer: Luis Bernal Gonzales (Sevilla)
On the set of extremal functions in certain Kolmogorov-type inequalities. (Russian, English) Zbl 1103.26014
Ukr. Mat. Zh. 56, No. 8, 1062-1075 (2004); translation in Ukr. Math. J. 56, No. 8, 1258-1275 (2004).
MSC:
26D10
A remark on Bohr’s inequality. (English) Zbl 1069.30001
Reviewer: George Csordas (Honolulu)
MSC:
30A10
Bohr’s inequality for uniform algebras. (English) Zbl 1062.46041
Reviewer: Cătălin Badea (Villeneuve d’Ascq)
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