A study on blending-type approximation through α-Szász–Durrmeyer-type operators
Journal of Taibah University for ScienceWe propose a Durrmeyer-type extension of the [Formula: see text]-Szász-Mirakyan operators. By employing a unified approach based on the Lipschitz kind maximal function, weighted function spaces, and the Ditzian–Totik modulus of smoothness, we obtain ...
Priya Sehrawat +3 more
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Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials
MathematicsThis paper introduces a new class of Baskakov–Schurer–Szász operators generated by Sheffer polynomials in a special case. We establish a Korovkin-type theorem for these operators and investigate their uniform convergence and error estimates using the ...
Naim L. Braha, Toufik Mansour
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Direct and Inverse Estimates for Combinations of Bernstein Polynomials with Endpoint Singularities [PDF]
, 2015 We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein polynomials by the rth Ditzian-Totik modulus of smoothness ω r φ (f, t)w where φ is an admissible step-weight ...
Wen-Ming Lu, Wenming, Lu
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The Characterization of the Derivatives for Linear Combinations of Post–Widder Operators inLp
, 1999 The aim of the paper is to characterize the global rate of approximation of derivativesf(l)through corresponding derivatives of linear combinations of Post–Widder operators in an appropriate weightedLp-metric using a weighted Ditzian and Totik modulus of
Li, Song, Wang, Ren Tai
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Characterization Theorems for the Approximation by a Family of Operators [PDF]
, 1996 The intention of this paper is to study a family of positive linear approximation operators relating to most of the well known Bernstein-type operators. These operators depend on a parameter.
Zhou, Ding X. +3 more
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Stancu-variant of generalized Baskakov operators
, 2017 In the present paper, we introduce Stancu-variant of generalized Baskakov operators and study the rate of convergence using modulus of continuity, order of approximation for the derivative of function f .
Abdul Wafi, Nadeem Rao
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Pointwise simultaneous approximation by combinations of Bernstein operators [PDF]
, 2005 We prove in the present paper some new direct and inverse results on pointwise simultaneous approximation by combinations of Bernstein operators by using ωϕλ2r(f,t), where ωϕλ2r(f,t) is the Ditzian–Totik modulus of smoothness.
Xie, Linsen
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I-approximation properties of certain class of linear positive operators
, 2011 In this paper we studyI-approximation properties of certain class of linear positive operators. The two main tools used in this paper areI-convergence and Ditzian-Totik modulus of smoothness.
Nazim Mahmudov +2 more
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\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials
Journal of Numerical Analysis and Approximation Theory, 2002 We establish direct and converse estimates for a generalized Kantorovich polynomial operator depending on a positive parameter.
Zoltán Finta
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Approximation by Durrmeyer-type operators [PDF]
, 1996 We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of ...
Gupta, Vijay, Srivastava, G.
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