In the present paper, a new family of sampling type operators is introduced and studied. By
the composition of the well-known generalized sampling operators of PL Butzer with the …

In this article, we consider modified Bernstein-Kantorovich operators and investigate their
approximation properties. We show that the order of approximation to a function by these …

The concept of approximation concerning positive and linear operators was initiated with the
two well-known results due to Weierstrass and Korovkin. During the last century, after the …

Full article: On Convergence Properties for a Class of Kantorovich Discrete Operators Skip to
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In this paper, we introduce Kantorovich modification of the operators considered by Lupas
and Lupas (Stud Univ Babes-Bolyai Math 32 (4): 61–69, 1987) based on Polya distribution …

It is well-known that Lupaş operators are not exponential type operators, although they
preserve linear functions. The differential operator is not applicable to estimate nice …

In this article, we investigate various Bernstein-Kantorovich variants together with their
approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators …

This paper is related to the information theoretic learning methodology, whose goal is to
quantify global scalar descriptors (eg, entropy) of a given probability density function (PDF) …

In this article, we introduce a modified class of Bernstein–Kantorovich operators depending
on an integrable function ψ α ψ _ α and investigate their approximation properties. By …

We establish matching direct and two-term strong converse estimates of the rate of weighted
simultaneous approximation by the Bernstein operator and its iterated Boolean sums for …