Results 21 to 30 of about 1,032 (121)
On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri +2 more
wiley +1 more source
Generalized q-Baskakov operators
Mathematica Slovaca, 2011 Abstract In the present paper we propose a generalization of the Baskakov operators, based on q integers. We also estimate the rate of convergence in the weighted norm. In the last section, we study some shape preserving properties and the property of monotonicity of q-Baskakov operators.
Aral, Ali, Gupta, Vijay
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The quantum (or q‐) calculus is widely applied in various operators which include the q‐difference (q‐derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and study q‐differential operator associated with q‐Mittag ...
Shahid Khan +5 more
wiley +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Generalized Baskakov-Beta Operators
Rocky Mountain Journal of Mathematics, 2009 Denote \[ C_{\gamma}[0,\infty):=\left\{ f\in C[0,\infty): f(t)=O(t^{\gamma}) \text{ as } t\to\infty \text{ for some } \gamma>0\right\}. \] For \(f\in C_{\gamma}[0,\infty)\) and \(\alpha>0\) consider the modified Baskakov-beta operators, introduced by Wang in 2005: \[ B_{n,\alpha}(f,x)= \sum_{k=0}^\infty p_{n,k,\alpha}(x)\int_0^\infty b_{n,k,\alpha}(t)f(
Gupta, Vijay, Aral, Ali
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 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 smoothness.
Ming-Yu Chen +5 more
wiley +1 more source
Demonstratio Mathematica, 2009 AbstractIn the present paper we introduce twoOne can say that, depending on the selection ...
Aral, Ali, Gupta, Vijay
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On $q$-Baskakov-Mastroianni operators
Rocky Mountain Journal of Mathematics, 2012 A general class of positive linear operators was defined by V. A. Baskakov and investigated by G. Mastroianni: see, e.g., Sections 5.2 and 5.3 in the monograph by \textit{F. Altomare} and \textit{M. Campiti} [Korovkin-type approximation theory and its applications. Berlin: Walter de Gruyter (1994; Zbl 0924.41001)].
Agratini, Octavian, Radu, Cristina
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Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]
, 2007 We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz +1 more
core +3 more sources
Approximation by (p, q)-Baskakov–Beta operators [PDF]
Applied Mathematics and Computation, 2017 In the present paper, we consider $(p,q)$-analogue of the Baskakov-Beta operators and using it, we estimate some direct results on approximation. Also, we represent the convergence of these operators graphically using MATLAB.
Neha Malik, Vijay Gupta
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