Found 252 Documents (Results 1–100)
Some summability methods for Dunkl-gamma-type operators including Appell polynomials. (English) Zbl 07872009
On approximation by Abel-Poisson and conjugate Abel-Poisson means in Hölder metric. (English) Zbl 07869153
Bounds of some divergence measures on time scales via Abel-Gontscharoff interpolation. (English) Zbl 07859897
Some approximation properties of parametric Baskakov-Schurer-Szász operators through a power series summability method. (English) Zbl 07840524
Approximation via statistical measurable convergence with respect to power series for double sequences. (English) Zbl 1537.40003
Reviewer: Muhammet Ali Okur (Aydın)
Approximation on hexagonal domains by Taylor-Abel-Poisson means. (English) Zbl 1531.41007
Reviewer: Fahreddin Abdullayev (Mersin)
MSC:
41A10
The regularity of ODEs and thimble integrals with respect to Borel summation. arXiv:2407.01412
Preprint, arXiv:2407.01412 [math.CA] (2024).
Algorithm for the polynomial approximation of the Abel differential equation solutions. (Ukrainian. English summary) Zbl 07909375
Construction of bivariate modified Bernstein-Chlodowsky operators and approximation theorems. (English) Zbl 1540.41054
Chlodowsky-type Szász operators via Boas-Buck-type polynomials and some approximation properties. (English) Zbl 1532.41024
Approximation properties of \(\mu\)-Bernstein-Schurer-Stancu operators. (English) Zbl 1539.40005
Reviewer: Emre Taş (Kırşehir)
Approximate properties of Abel-Poisson integrals on classes of differentiable functions defined by moduli of continuity. (English) Zbl 1529.42001
Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method. (English) Zbl 1524.40033
Korovkin theory via \(P_p\)-statistical relative modular convergence for double sequences. (English) Zbl 1520.40002
On approximation of functions from the class \(L^{\psi}_{\beta, 1}\) by the Abel-Poisson integrals in the integral metric. (English) Zbl 1505.42001
Reviewer: Włodzimierz Łenski (Poznań)
An extension of Korovkin theorem via power series method. (English) Zbl 1504.40012
Reviewer: Emre Taş (Kırşehir)
Some linear processes for Fourier series and best approximations of functions in Morrey spaces. (English) Zbl 1509.42004
Some properties of Kantorovich variant of Szász operators induced by multiple Sheffer polynomials. (English) Zbl 1507.41009
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual. (English) Zbl 1503.41002
Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials. (English) Zbl 1496.41009
Reviewer: Emre Taş (Kırşehir)
Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials. (English) Zbl 1494.41010
An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots. (English) Zbl 1487.41006
Asymptotic expansions for Wiener-Hopf equations. (English) Zbl 1497.41028
Reviewer: José L. Lopez (Pamplona)
On the uniqueness of the solution to the Wiener-Hopf equation with probability kernel. (English) Zbl 1485.45004
Reviewer: Vladimir V. Kisil (Leeds)
Convergence of \(\lambda\)-Bernstein operators via power series summability method. (English) Zbl 1487.40006
Linear methods of approximation in weighted Lebesgue spaces with variable exponent. (English) Zbl 1499.42016
Approximation by modified Meyer-König and Zeller operators via power series summability method. (English) Zbl 1481.40004
Korovkin type approximation of Abel transforms of \(q\)-Meyer-König and Zeller operators. (English) Zbl 1513.40034
Infinite series formulae related to Gauss and Bailey \(_2F_1(\frac{1}{2})\)-sums. (English) Zbl 1499.33020
A generalized barycentric rational interpolation method for generalized Abel integral equations. (English) Zbl 1460.65159
Korovkin type theorem for Bernstein-Kantorovich operators via power summability method. (English) Zbl 1460.40004
Approximation properties of the generalized Szasz operators by multiple Appell polynomials via power summability method. (English) Zbl 1453.40014
Some properties of modified Szász-Mirakyan operators in polynomial spaces via the power summability method. (English) Zbl 1451.40008
An explicit univariate and radical parametrization of the sextic proper zolotarev polynomials in power form. (English) Zbl 1540.41056
Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I. (English) Zbl 1509.34098
Explicit algebraic solution of Zolotarev’s first problem for low-degree polynomials. (English) Zbl 1463.41016
Abstract Korovkin theory for double sequences via power series method in modular spaces. (English) Zbl 1436.41015
Some properties of Baskakov-Schurer-Szász operators via power summability methods. (English) Zbl 1434.41013
Approximation of continuous periodic functions of two variables via power series methods of summability. (English) Zbl 1416.41034
Abel convergence of the sequence of positive linear operators in \(L_{p,q}(\mathrm{loc})\). (English) Zbl 1508.41010
Reviewer: Tuncer Acar (Selcuklu)
Statistical convergence with respect to power series methods and applications to approximation theory. (English) Zbl 1430.40004
Reviewer: Atanu Manna (Bhadohi)
Abstract Korovkin theory in modular spaces in the sense of power series method. (English) Zbl 1488.40056
Fuzzy trigonometric Korovkin type approximation via power series methods of summability. (English) Zbl 1463.41064
Linear methods of summing Fourier series and approximation in weighted Orlicz spaces. (English) Zbl 1424.30128
Some properties of new modified Szász-Mirakyan operators in polynomial weight spaces via power summability method. (English) Zbl 1409.41011
Ahlfors problem for polynomials. (English. Russian original) Zbl 1402.30005
Sb. Math. 209, No. 3, 320-351 (2018); translation from Mat. Sb. 209, No. 3, 34-66 (2018).
Reviewer: Leonid Golinskii (Kharkov)
A Korovkin-type theorem for double sequences of positive linear operators via power series method. (English) Zbl 1387.41012
Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators. (English. Ukrainian original) Zbl 1499.41036
Ukr. Math. J. 69, No. 5, 766-781 (2017); translation from Ukr. Mat. Zh. 69, No. 5, 657-669 (2017).
MSC:
41A27
The second Zolotarev case in the Erdős-Szegö solution to a Markov-type extremal problem of Schur. (English) Zbl 1413.26030
Korovkin theorems on weighted spaces: revisited. (English) Zbl 1399.41039
Reviewer: Ioan Raşa (Cluj-Napoca)
Approximation by positive linear operators in modular spaces by power series method. (English) Zbl 1379.41023
Korovkin type theorems for Cheney-Sharma operators via summability methods. (English) Zbl 1376.41026
Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials. (English) Zbl 1376.34015
Summation formulas of Euler-Maclaurin and Abel-Plana: old and new results and applications. (English) Zbl 1369.65005
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, 429-461 (2017).
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. (English) Zbl 1371.65024
Reviewer: Manfred Tasche (Rostock)
Special functions, integral equations and a Riemann-Hilbert problem. (English) Zbl 1347.33041
Reviewer: Sergei V. Rogosin (Minsk)
On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem. (English) Zbl 1350.41007
Reviewer: Devendra Kumar (Al-Baha)
Operational Müntz-Galerkin approximation for Abel-Hammerstein integral equations of the second kind. (English) Zbl 1346.45003
On Fatou type convergence of convolution type double singular integral operators. (English) Zbl 1349.41030
High-order modified tau method for non-smooth solutions of Abel integral equations. (English) Zbl 1328.45006
A theorem for the \((J,p)\) summability method. (English) Zbl 1349.40002
Reviewer: Antonio López-Carmona (Granada)
Fast and stable contour integration for high order divided differences via elliptic functions. (English) Zbl 1311.65028
Methods for the computation of slowly convergent series and finite sums based on Gauss-Christoffel quadratures. (English) Zbl 1379.65002
An estimate of the rate of convergence of \(K^{\lambda}\)-means of Fourier series of functions of bounded variation. (English) Zbl 1322.42006
Regularization of Abel equation with the use of discontinuous Steklov operator. (Russian. English summary) Zbl 1310.41017
MSC:
41A35
Approximation by semigroup of spherical operators. (English) Zbl 1311.42072
Reviewer: Jeremy Wade (Pittsburg)
A meshless like method for the approximate solution of integral equations over polygons. (English) Zbl 1427.65420
Operational matrix approach for solution of integro-differential equations arising in theory of anomalous relaxation processes in vicinity of singular point. (English) Zbl 1426.65220
Approximation of bounded \(p\)-variation periodic functions by generalized Abel-Poisson and logarithmic means. (Russian. English summary) Zbl 1304.41021
MSC:
41A50
Using orthogonal functions to solve the approximate solutions and the error of the supersingular. (Chinese. English summary) Zbl 1299.65039
Approximation properties of hexagonal Fourier series in the generalized Hölder metric. (English) Zbl 1283.41016
Approximation by \((C, 1)\) and Abel-Poisson means of Fourier series on hexagonal domains. (English) Zbl 1259.41024
The third Appell function for one large variable. (English) Zbl 1266.41021
Reviewer: Francisco Pérez Acosta (La Laguna)
Compact numerical quadrature formulas for hypersingular integrals and integral equations. (English) Zbl 1264.65033
Reviewer: Alexandru Mihai Bica (Oradea)
Approximation by singular integrals. (English) Zbl 1281.45007
Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-19-3/pbk). xii, 394 p. (2012).
Reviewer: Kai Diethelm (Braunschweig)
A new Chebyshev family with applications to Abel equations. (English) Zbl 1233.41003
Reviewer: Costica Mustăţa (Cluj-Napoca)
Exact estimation of an approximation of some classes of differentiable functions by convolution operators. (English. Ukrainian original) Zbl 1282.41007
J. Math. Sci., New York 175, No. 2, 192-210 (2011); translation from Ukr. Mat. Visn. 7, No. 3, 409-433 (2010).
Reviewer: Vijay Gupta (New Delhi)
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