Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type

Agrawal, P. Ν.; İspir, Nurhayat; Sidharth, Manjari

doi:10.1080/01630563.2017.1360347

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…x 2 + y 2 −1−γ J 1+γ x 2 + y 2 , for γ > 1 2 , where, J λ is the Bessel function of order λ, also satisfies all the required conditions for γ > 5 2 (see [11]).…”

Section: Examples Of the Kernelmentioning

confidence: 96%

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Inverse approximation and GBS of bivariate Kantorovich type sampling series

Kumar

Bajpeyi

2020

RACSAM

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In this paper, we derive an inverse result for bivariate Kantorovich type sampling series for f ∈ C 2 (R 2 ) (the space of all continuous functions with upto second order partial derivatives are continuous and bounded on R 2 ). Further, we prove the rate of approximation in the Bögel space of continuous functions for the GBS (Generalized Boolean Sum) of these operators. Finally, we give some examples for the kernel to which the theory can be applied.Keywords Inverse result · Bivariate Kantorovich type Sampling series · Rate of convergence · GBS operators · mixed modulus of smoothnesswhere w > 0 and (x, y) ∈ R 2 . These operators have great importance in the development of models for signal recovery. These type of operators have been

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“…x 2 + y 2 −1−γ J 1+γ x 2 + y 2 , for γ > 1 2 , where, J λ is the Bessel function of order λ, also satisfies all the required conditions for γ > 5 2 (see [11]).…”

Section: Examples Of the Kernelmentioning

confidence: 96%

“…Recently, many researchers have made significant contributions on this topic. We refer the reader to some of the related papers ( [3,5,15,31,34,36]). Let X and Y be compact intervals.…”

Section: Approximation In the Space Of Bögel Continuous Functionsmentioning

confidence: 99%

Inverse approximation and GBS of bivariate Kantorovich type sampling series

Kumar

Bajpeyi

2020

RACSAM

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Improving the order of approximation by a generalization of new bivariate sequence of integral type operators with parameters

Mohammad

Muslim

2020

Journal of Interdisciplinary Mathematics

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The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators

2017

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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. Also, we estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of these operators and study the degree of approximation by means of the Lipschitz class of Bögel continuous functions. Finally, we present some graphical examples to illustrate the rate of convergence of the operators under consideration.

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Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type

Cited by 4 publications

References 8 publications

Inverse approximation and GBS of bivariate Kantorovich type sampling series

Inverse approximation and GBS of bivariate Kantorovich type sampling series

Improving the order of approximation by a generalization of new bivariate sequence of integral type operators with parameters

The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators

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