Results 1 to 10 of about 87 (80)
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials [PDF]
Journal of Inequalities and Applications, 2017 The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg +2 more
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The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators.
Purshottam Narain Agrawal +2 more
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Journal of Mathematics, 2023 The objective of this paper is to construct univariate and bivariate blending type α-Schurer–Kantorovich operators depending on two parameters α∈0,1 and ρ>0 to approximate a class of measurable functions on 0,1+q,q>0.
Mohammad Ayman-Mursaleen +5 more
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On modified Dunkl generalization of Szász operators via q-calculus [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen +2 more
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Approximation by q-Post-Widder Operators Based on a New Parameter
Abstract and Applied AnalysisThe purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated.
Qiu Lin
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Integral Modification of Lupaş-Type Operators for Improved Approximation and Reduced Bias
Journal of Function SpacesIn 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 ...
Nadiyah Hussain Alharthi +2 more
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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
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Approximation by Jakimovski–Leviatan-beta operators in weighted space
Advances in Difference Equations, 2020 The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of
M. Nasiruzzaman, M. Mursaleen
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Journal of Mathematics, 2022 We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of ...
Ming-Yu Chen +4 more
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Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$
Mathematische Nachrichten, Volume 296, Issue 12, Page 5474-5492, December 2023., 2023 Abstract We consider K‐interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt‐type formula to be held in the limiting case θ0=θ1∈{0,1}$\theta _0=\theta _1\in \lbrace 0,1\rbrace$. We also study the case θ0=θ1∈(0,1)$\theta _0=\theta _1\in (0,1)$.
Irshaad Ahmed +2 more
wiley +1 more source