In the present paper, we introduce a new family of sampling Kantorovich type operators
using fractional-type integrals. We study approximation properties of newly constructed …

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 …

We establish a direct and a matching two-term strong converse inequality by moduli of
smoothness for the rate of the simultaneous approximation by generalized sampling …

In the present article, we introduce a Kantorovich variant of the neural network interpolation
operators activated by smooth ramp functions proposed by Qian and Yu (2022). We discuss …

In this paper, we introduce a family generalized Kantorovich-type exponential sampling
operators of bivariate functions by using the bivariate Mellin-Gauss-Weierstrass operator …

In this paper, we investigate the approximation properties of exponential sampling series
within logarithmically weighted spaces of continuous functions. Initially, we demonstrate the …

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 …

The chapter introduces a family of nonlinear exponential sampling operators. The proposed
definition represents a nonlinear extension of the classical exponential sampling operators …

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 …

In approximation theory, classical discrete operators, like generalized sampling, Szász‐
Mirak'jan, Baskakov, and Bernstein operators, have been extensively studied for scalar …