Results 61 to 70 of about 219 (163)
Journal of Inequalities and ApplicationsIn the present article we obtain the approximation properties of Szász-type operators by use of wavelets in quantum calculus. We construct the Szász-type operators by q-calculus and introduce the Kantrovich variant of this operator by wavelets, then ...
Md. Nasiruzzaman
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Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman +4 more
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Computational mathematics and variational analysis [PDF]
, 2020 This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics.
Daras, Nicholas, Rassias, Themistocles
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Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
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A Note On Statistical Approximation Properties of Complex q-Szász- Mirakjan Operators [PDF]
, 2019 The complex q operator attached to analytic functions satisfying a suitable exponential type growth condition has been studied in [14].
Ari, Didem Aydin, Arı, Didem Aydın
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces. Furthermore, we investigate the approximation properties of the Szász–Mirakjan operators preserving exponential functions ...
Dilek Söylemez, Feras Yousef
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman +5 more
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Approximation by Generalized Integral Favard-Szasz Type Operators Involving Sheffer Polynomials [PDF]
, 2019 This article deals with the approximation properties of a generalization of an integral type operator in the sense of Favard-Szász type operators including Sheffer polynomials with graphics plotted using Maple.We investigate the order of convergence, in ...
Buyukyazici, Ibrahim +2 more
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Journal of Inequalities and ApplicationsIn this paper, we employ the Szász-Mirakyan estimation together with the Riemann-Liouville fractional integral operator to solve both the first and second kinds of fractional Volterra integral equations.
Petro Bwire +3 more
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Quantitative Estimates for Positive Linear Operators in terms of the Usual Second Modulus
Abstract and Applied Analysis, 2015 We give accurate estimates of the constants Cn(A(I),x) appearing in direct inequalities of the form |Lnf(x)-f(x)|≤Cn(A(I),x)ω2 f;σ(x)/n, f∈A(I), x∈I, and n=1,2,…, where Ln is a positive linear operator reproducing linear functions and acting on real ...
José A. Adell, A. Lekuona
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