On the Baskakov-Durrmeyer type operators

Malejki, Renata; Wachnicki, Eugeniusz

doi:10.14708/cm.v54i1.760

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Theorem 2 Let F ∈ C B [ ∞) and X ∈ ( ∞) Then There Exi1

Introduction1

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2021

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Cited by 2 publications

(2 citation statements)

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“…[10], [11], [12], [13], [14], [15] referring to the several extensions of the Baskakov/Durrmeyer/Stancu operators and several methods used in proofs.…”

Section: Theorem 2 Let F ∈ C B [ ∞) and X ∈ ( ∞) Then There Eximentioning

confidence: 99%

On generalized Baskakov-Durrmeyer-Stancu type operators

Kumar

Finta

Agrawal

2017

Demonstratio Mathematica

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Abstract:In this paper, we study some local approximation properties of generalized Baskakov-DurrmeyerStancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the second order modulus of smoothness. Further, we study the rate of convergence in Lipschitz type space and the weighted approximation properties in terms of the modulus of continuity, respectively. Finally, we investigate the statistical approximation property of the new operators with the aid of a Korovkin type statistical approximation theorem.

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“…[10], [11], [12], [13], [14], [15] referring to the several extensions of the Baskakov/Durrmeyer/Stancu operators and several methods used in proofs.…”

Section: Theorem 2 Let F ∈ C B [ ∞) and X ∈ ( ∞) Then There Eximentioning

confidence: 99%

On generalized Baskakov-Durrmeyer-Stancu type operators

Kumar

Finta

Agrawal

2017

Demonstratio Mathematica

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“…In 2014, R. Malejki and E. Wachnicki [18] constructed integral type modification the operators B α n given by(1.1)as follows:…”

Section: Introductionmentioning

confidence: 99%

Approximation Properties of Modified Baskakov Gamma Operators

Arpagus

Olgun

2021

FU Math Inform

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In this present paper, we study an approximation properties of modified Baskakov-Gamma operator. Using Korovkin type theorem we first give approximation properties of this operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we give an approximation properties of weighted spaces. Finally, we study the Voronovskaya type theorem of this operator.

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On the Baskakov-Durrmeyer type operators

Cited by 2 publications

References 6 publications

On generalized Baskakov-Durrmeyer-Stancu type operators

On generalized Baskakov-Durrmeyer-Stancu type operators

Approximation Properties of Modified Baskakov Gamma Operators

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