Titlebook: Advances in Summability and Approximation Theory; S. A. Mohiuddine,Tuncer Acar Book 2018 Springer Nature Singapore Pte Ltd. 2018 Statistic

Bph773

capillaries

ingrate

Tauberian Conditions Under Which Convergence Follows from Statistical Summability by Weighted Meansobtain some sufficient conditions, under which the existence of the limit . follows from that of .-., where . is a finite number. If . is a sequence of real numbers, then these Tauberian conditions are one-sided. If . is a sequence of complex numbers, these Tauberian conditions are two-sided. These

圣人

grenade

,Convergence Properties of Genuine Bernstein–Durrmeyer Operators,e a modified genuine Bernstein–Durrmeyer operators. Some approximation results, which include local approximation, error estimation in terms of the modulus of continuity and weighted approximation is obtained. Also, a quantitative Voronovskaya-type approximation will be studied. The convergence of t

巨硕

得罪人

并入

On Generalized Picard Integral Operators,w that these operators are approximation processes in a suitable weighted spaces. The uniform weighted approximation order of constructed operators is given via exponential weighted modulus of smoothness. We also obtain their shape preserving properties considering exponential convexity.

大雨

From Uniform to Statistical Convergence of Binomial-Type Operators,is based on a detailed presentation of delta operators and their associated basic polynomials. Bernstein–Sheffer linear positive operators are analyzed, and some particular cases are highlighted: Cheney–Sharma operators, Stancu operators, Lupaş operators.

TERRA

Optimal Linear Approximation Under General Statistical Convergence, natural step beyond the establishment of both qualitative and quantitative results. The ordinary convergence is replaced by . -statistical .-summability, where . is a regular infinite matrix with non-negative real entries and . is a sequence of matrices of the aforesaid type, in such a way that the