In this work, by taking a continuously differentiable, increasing and unbounded function rho, we consider an extension of the Lupas operator L-n in the form L-n (f o rho(-1)) o rho for convenient functions f on [0, infinity). ...

In this paper, we introduce and study new type Szasz-Mirakyan-Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead ...

In the present article, we propose the (p, q)-variant of beta function of second kind and establish a relation between the generalized beta and gamma functions using some identities of the post-quantum calculus. As an ...

We describe a unifying approach for studying the power series of the positive linear operators from a certain class. For the same operators, we give simpler proofs of some known ergodic theorems.

The paper aims to study a generalization of Szasz-Mirakyan-type operators such that their construction depends on a function rho by using two sequences of functions. To show how the function rho play a crucial role in the ...

The concern of this paper is to introduce a Kantorovich modification of (p, q)-Baskakov operators and investigate their approximation behaviors. We first define a new (p, q)-integral and construct the operators. The rate ...

In the present paper, we introduce certain (p, q) analogue of the Szasz-Beta operators using (p, q)-variant of Beta function of second kind. We present direct theorem in weighted spaces in terms of suitable weighted modulus ...

We define a (p, q) analogue of Gamma function. As an application, we propose (p, q)-Szasz-Durrmeyer operators, estimate moments and establish some direct results.

Pointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These ...

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 ...