Results 61 to 70 of about 7,340,674 (138)

Four-dimensional matrix transformation and A-statistical fuzzy Korovkin type approximation

, 2013
In this paper, we prove a fuzzy Korovkin-type approximation theorem for fuzzy positive linear operators by ...
Kamil Demirci, Sevda Karakuş
core   +1 more source

Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 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

A Study on Affine Invariance in ψ‐Modified Szász‐Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose and analyze a modified class of ‐ψ Szász–Mirakjan–Kantorovich operators that preserve affine functions. The proposed modified‐ψ Szász–Mirakjan–Kantorovich operators exhibit superior approximation properties compared to both the classical ψ Szász–Mirakjan–Kantorovich operators and the previously defined ‐ψ Szász–Mirakjan ...
Hüseyin Aktuğlu, Mustafa Kara, Smritijit Sen   +2 more
wiley   +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

Multiple Binomial‐Type Operators and Their Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce multiple binomial‐type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin‐type theorem. Furthermore, by using the first and second modulus of continuity together with Peetre’s κ‐functional, we establish the rate of convergence ...
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Smritijit Sen   +3 more
wiley   +1 more source

Statistical Korovkin-type theory for matrix-valued functions

, 2011
In this paper, using the notion of A-statistical convergence from the summability theory, we obtain a Korovkin-type theorem for the approximation by means of matrixvalued linear positive operators.
Oktay Duman, Esra Erkuş-Duman, Erkus-Duman, ESRA, DUMAN, Oktay   +3 more
core   +1 more source

Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman, Esmail Alshaban, Fahad Maqbul Alamrani, Adel Alatawi, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Generalized A--statistical convergence and a Korovkin type approximation theorem for double sequences [PDF]

, 2013
In this paper, we use the notion of ideal to obtain two more general concepts and call them as I -A-statistical convergence and ideal A-summability.
Belen, Cemal, Yildirim, Mustafa
core   +1 more source

Statistical extension of the Korovkin-type approximation theorem [PDF]

, 2011
In this paper, using the concept of statistical -convergence which is stronger than convergence and statistical convegence we obtain a Korovkin type approxi- mation theorem for sequences of positive linear operators from H !
Demirci, Kamil, Dirik, Fadime
core   +1 more source