Bivariate Grüss-Type Inequalities for Positive Linear Operators

Moment Generating Functions and Central Moments

This section deals with the moment generating functions (m.g.f.) up to sixth order of some discretely defined operators. We mention the m.g.f. and express them in expanded form to obtain moments, which are important in the theory of approximation relevant to problems of convergence.

Univariate Grüss- and Ostrowski-Type Inequalities for Positive Linear Operators

Convergence of GBS Operators

In [59, 60], Bogel introduced a new concept of Bogel-continuous and Bogel-differentiable functions and also established some important theorems using these concepts. Dobrescu and Matei [80] showed the convergence of the Boolean sum of bivariate generalization of Bernstein polynomials to the B-continuous function on a bounded interval. Subsequently, Badea and Cottin [46] obtained Korovkin theorems for GBS operators.

Estimates for the Differences of Positive Linear Operators

Basics of Post-quantum Calculus

Bivariate Operators of Discrete and Integral Type