Currently displaying 1 – 15 of 15

Showing per page

Order by Relevance | Title | Year of publication

On the statistical and σ-cores

Hüsamettın ÇoşkunCelal ÇakanMursaleen — 2003

Studia Mathematica

In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class ( S m , V σ ) r e g and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.

Approximation properties for modified ( p , q ) -Bernstein-Durrmeyer operators

Mohammad MursaleenAhmed A. H. Alabied — 2018

Mathematica Bohemica

We introduce modified ( p , q ) -Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators D n , p , q * and compute the rate of convergence for the function f belonging to the class Lip M ( γ ) .

Page 1

Download Results (CSV)