Herein, the aim is to further investigate the properties of the generalized Picard operators introduced in Agratini et al. (Positivity 3(21):1189-1199, 2017). The motivation is based on with the purpose of furnishing ...

The quantum calculus and the post-quantum calculus have recently gained broad popularity in computational science and engineering due to their applications to diverse areas such as solution of differential equations, ...

This paper deals with Durrmeyer type generalization of q-Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q-integral operators. We show that this sequence is an approximation ...

In this paper, we construct a new general class of operators which have the classical Szasz Mirakyan ones as a basis, and fix the functions and with . The convergence of the corresponding sequences is discussed in exponential ...

In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functionse(0)ande(-x). We discuss uniform convergence of this generalization by means of the modulus of continuity and ...

In this paper we consider two different general linear positive operators defined on unbounded interval and obtain estimates for the differences of these operators in quantitative form. Our estimates involve an appropriate ...

In this paper, we give the generalizations of the Picard and the Gauss Weierstrass singular integral operators which are based on the q-numbers and depend on q-generalization of the Euler gamma integral. Later on, some ...

In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, a). Then we obtain ...

The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupas, operators and ...

In the present paper we propose a generalization of the Baskakov operators, based on q integers. We also estimate the rate of convergence in the weighted norm. In the last section, we study some shape preserving properties ...