Results 81 to 90 of about 606,824 (183)

Approximate Hermite-Hadamard inequality [PDF]

, 2014
The main results of this paper offer sufficient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core  

Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence

Journal of Function Spaces, 2015
We deal with a new type of statistical convergence for double sequences, called Ψ-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces.
Carlo Bardaro, Antonio Boccuto, Kamil Demirci, Ilaria Mantellini, Sevda Orhan   +4 more
doaj   +1 more source

Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]

Mathematica Bohemica, 2018
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.
Mohammad Mursaleen, Ahmed A. H. Alabied
doaj   +1 more source

Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence

Universal Journal of Mathematics and Applications, 2023
This article is a continuation of our previous works. We mainly investigate a Korovkin type theorem for double sequences of positive linear operators defined in the space of all $2\pi $-periodic and real valued continuous functions on the real two ...
Selin Çınar
doaj   +1 more source

A Korovkin Type Theorem on Weak Convergence [PDF]

Proceedings of the American Mathematical Society, 1976
A weak convergence theorem is proved for a sequence of positive contractions on L 1 ( 0 , 1 ) {L_1}(0,1) .
openaire   +2 more sources

Statistical Deferred Nörlund Summability and Korovkin-Type Approximation Theorem

Mathematics, 2020
The concept of the deferred Nörlund equi-statistical convergence was introduced and studied by Srivastava et al. [Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. (RACSAM) 112 (2018), 1487–1501].
Hari Mohan Srivastava, Bidu Bhusan Jena, Susanta Kumar Paikray   +2 more
doaj   +1 more source

Statistical Approximation for Periodic Functions of Two Variables

Journal of Function Spaces and Applications, 2013
We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability (C,1,1). We also study the rate of statistical summability (C,1,1) of positive linear operators. Finally we construct an example
Abdullah Alotaibi, M. Mursaleen, S. A. Mohiuddine   +2 more
doaj   +1 more source

Some Applications of New Modified q-Integral Type Operators

International Journal of Mathematics and Mathematical Sciences, 2015
We introduce a new sequence of q-integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval.
R. P. Pathak, Shiv Kumar Sahoo
doaj   +1 more source

Korovkin-type theorems and applications

Open Mathematics, 2009
Abstract Let {T n} be a sequence of linear operators on C[0,1], satisfying that {T n (e i)} converge in C[0,1] (not necessarily to e i) for i = 0,1,2, where e i = t i.
openaire   +3 more sources

Some Korovkin-type theorems using multivariate power series technique

Journal of Inequalities and Applications
In this note, we introduce a multivariate power series technique to test the statistical convergence of multiple sequences. Our primary goal is to establish a new multivariate Korovkin-type theorem based on this convergence approach.
Mrutyunjaya Meher, Prasanta Kumar Ray
doaj   +1 more source