Direct and inverse results for Kantorovich type exponential sampling series

SK Angamuthu, S Bajpeyi - Results in Mathematics, 2020 - Springer
In this article, we analyse the behaviour of the new family of Kantorovich type exponential
sampling series. We derive the point-wise approximation theorem and Voronovskaya type …

Approximation Properties of Generalized -Bernstein–Kantorovich Type Operators

A Kumar - Rendiconti del Circolo Matematico di Palermo Series 2, 2021 - Springer
In the present paper, we consider a generalized λ λ-Bernstein–Kantorovich type operators
and discuss their approximation properties using the Korovkin-type theorem. We estimate …

Bivariate generalized Kantorovich-type exponential sampling series

T Acar, A Eke, S Kursun - Revista de la Real Academia de Ciencias …, 2024 - Springer
In this paper, we introduce a family generalized Kantorovich-type exponential sampling
operators of bivariate functions by using the bivariate Mellin-Gauss-Weierstrass operator …

Approximation properties of exponential sampling series in logarithmic weighted spaces

T Acar, S Kursun, Ö Acar - Bulletin of the Iranian Mathematical Society, 2024 - Springer
In this paper, we investigate the approximation properties of exponential sampling series
within logarithmically weighted spaces of continuous functions. Initially, we demonstrate the …

Approximation by Szasz–Kantorovich type operators associated with d-symmetric d-orthogonal polynomials of Brenke type

A Kumar, A Senapati, T Som - The Journal of Analysis, 2024 - Springer
This article discusses some important approximation properties of generalized Szasz–
Kantorovich operators with a new modification of d-symmetric d-orthogonal polynomials of …

On approximation by Kantorovich exponential sampling operators

S Bajpeyi, AS Kumar - Numerical Functional Analysis and …, 2021 - Taylor & Francis
In the present article, we extend our study of Kantorovich type exponential sampling
operators introduced in [4]. We derive the Voronovskaya type theorem and its quantitative …

Convergence of semi-discrete exponential sampling operators in Mellin–Lebesgue spaces

C Bardaro, I Mantellini, I Tittarelli - Revista de la Real Academia de …, 2023 - Springer
Convergence of semi-discrete exponential sampling operators in Mellin–Lebesgue spaces |
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[PDF][PDF] Approximation properties of bivariate sampling Durrmeyer series in weighted spaces of functions

D Özer, M Turgay, T Acar - Adv. Stud. Euro-Tbil. Math. J., 2023 - tcms.org.ge
This paper deals with approximation properties of bivariate sampling Durrmeyer operators
for functions belonging to weighted spaces of functions. After a short preliminaries and …

A new kind of Bi-variate -Bernstein-Kantorovich type operator with shifted knots and its associated GBS form.

PN Agrawal, B Baxhaku… - … Foundations of Computing, 2022 - search.ebscohost.com
In this paper, we introduce a bi-variate case of a new kind of-Bernstein-Kantorovich type
operator with shifted knots defined by Rahman et al.[31]. The rate of convergence of the bi …

Approximation by bivariate generalized sampling series in weighted spaces of functions

T Acar, M Turgay - Dolomites Research Notes on …, 2023 - drna.padovauniversitypress.it
In this paper, we study weighted approximation by bivariate generalized sampling series.
Considering polynomially weighted spaces of bivariate functions we obtain pointwise and …