Approximation results for Hadamard-type exponential sampling Kantorovich series

S Kursun, A Aral, T Acar - Mediterranean Journal of Mathematics, 2023 - Springer
The present paper deals with construction of a new family of exponential sampling
Kantorovich operators based on a suitable fractional-type integral operators. We study …

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 …

Convergence analysis of modified Bernstein–Kantorovich type operators

A Senapati, A Kumar, T Som - … del Circolo Matematico di Palermo Series 2, 2023 - Springer
In the present paper, we introduce a new Kantorovich variant of modified Bernstein
Operators. First, we discuss some auxiliary results and present a Korovkin-type theorem for …

Approximation of discontinuous signals by exponential‐type generalized sampling Kantorovich series

S Kursun, T Acar - Mathematical Methods in the Applied …, 2025 - Wiley Online Library
In the present paper, we analyze the behavior of the exponential‐type generalized sampling
Kantorovich operators K ω φ, GK _ ω &# x0005E; φ, G when discontinuous signals are …

Approximation by Durrmeyer type exponential sampling operators

S Bajpeyi, AS Kumar, I Mantellini - Numerical Functional Analysis …, 2022 - Taylor & Francis
In the present article, we derive some approximation results concerning the order of
convergence for a family of Durrmeyer type exponential sampling operators. Further, we …

Approximation of discontinuous functions by Kantorovich exponential sampling series

AS Kumar, P Kumar, P Devaraj - Analysis and Mathematical Physics, 2022 - Springer
The Kantorovich exponential sampling series I w χ f at jump discontinuities of the bounded
measurable signal f: R+→ R has been analysed. A representation lemma for the series I w χ …

Approximation Properties of Mellin-Steklov Type Exponential Sampling Series

D Ozer, S Kursun, T Acar - arXiv preprint arXiv:2410.09070, 2024 - arxiv.org
In this paper, we introduce Mellin-Steklov exponential samplingoperators of order $ r,
r\in\mathbb {N} $, by considering appropriate Mellin-Steklov integrals. We investigate the …

Exponential Sampling Type Kantorovich Max-Product Neural Network Operators

S Bajpeyi, B Baxhaku, PN Agrawal - Numerical Functional Analysis …, 2024 - Taylor & Francis
This article deals with the study of approximation behavior of the exponential sampling type
Kantorovich max-product neural network operators based on sigmoidal activation function …

A Characterization of the Convergence in Variation for the Exponential Sampling Operators

AS Kumar, S Yugesh - Results in Mathematics, 2025 - Springer
The convergence in variation for the exponential sampling operators and Kantorovich
exponential sampling operators based on averaged-type kernel has been analyzed. A …