On Convergence of General Gamma Type Operators

Karslı, Harun

doi:10.1007/s10496-011-0288-z

Cited by 8 publications

(6 citation statements)

References 8 publications

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“…ese operators play important role in many elds inside applied mathematics [1][2][3][4][5][6][7][8][9][10][11]. A considerable amount of literature has been published on approximation processes.…”

Section: Introductionmentioning

confidence: 99%

Approximation Properties of a New Gamma Operator

Huang

2022

Journal of Mathematics

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This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e − μ x μ > 0 . We study the uniform approximation effect and the direct results. We also investigate the weighted A-statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.

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Section: Introductionmentioning

confidence: 99%

Approximation Properties of a New Gamma Operator

Huang

2022

Journal of Mathematics

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“…In these studies, the authors have established that the new family of linear positive operators have superior properties which are proven theoretically. For more detailed information, we refer the readers to previous studies and and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Approximation by Gamma type operators

Deveci

Acar

Alagöz

2020

Math Methods in App Sciences

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In this study, we introduce newly defined Gamma operators which preserve constants and e2μ·, μ>0 functions. In accordance with this purpose, we focus on their approximation properties such as uniform convergence, rate of convergence, asymptotic formula, and saturation results. Superior properties of introduced operators have been tested both theoretically and numerically in certain senses to highlight the performance of the new constructions of Gamma operators.

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“…where x > 0, n ≥ k. Obviously, G n,1 ðf ; xÞ = G n ð f ; xÞ and G n,2 ðf ; xÞ = Gn−2 ðf ; xÞ. In [4,5], some approximation properties of operators ((1)-( 3)) were discussed.…”

Section: Introductionmentioning

confidence: 99%

Generalized p,q-Gamma-type operators

Cheng

Cai

2020

Journal of Function Spaces

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In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented.

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On Convergence of General Gamma Type Operators

Abstract: The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators M n,k for functions of bounded variation, by using some techniques of probability theory.

Cited by 8 publications

References 8 publications

Approximation Properties of a New Gamma Operator

Approximation Properties of a New Gamma Operator

Approximation by Gamma type operators

Generalized p,q-Gamma-type operators

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