Results 31 to 40 of about 7,340,674 (138)
Statistical αβ-summability and Korovkin type approximation theorem
, 2016 In this study, we define [N?,??]q - summability and statistical (N?,??) summability. We also establish some inclusion relation and some related results for this new summability methods.
Ali Karaisa
core +1 more source
Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Korovkin theorem in modular spaces [PDF]
, 2007 In this paper we obtain an extension of the classical Korovkin theorem in abstract modular spaces.
Mantellini, Ilaria, Bardaro, Carlo
core +1 more source
Deferred Nörlund statistical relative uniform convergence and Korovkin-type approximation theorem
, 2021 In this paper, we define the concept of statistical relative uniform convergence of the deferred Nörlund mean and we prove a general Korovkin-type approximation theorem by using this convergence method.
Yıldız, Sevda +3 more
core +1 more source
Journal of Function Spaces, 2021 In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj +1 more source
On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17214-17231, 15 November 2026.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯 n , m together with its subfamilies 𝒯 * n , m , 𝒯 * n , 2 m − 1 and 𝒯 * n , 2 m . We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators.
Hüseyin Aktuğlu, Mustafa Kara
wiley +1 more source
Korovkin type approximation theorem for BBH type operators via J-convergence
, 2010 This paper provides a Korovkin type approximation theorem for a class of positive linear operators including Bleimann-Butzer and Hahn operators via J-convergence.
Hüseyin Aktuğlu +3 more
core +1 more source
Strongly Lacunary Ideal Convergence of Sequences of Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present paper, we introduce the notions of strongly lacunary convergence, strongly lacunary I‐convergence, and strongly lacunary I∗‐convergence for sequences of functions, while analyzing the interrelations among these established concepts. Furthermore, we formulate the definitions of strongly lacunary I‐Cauchy and strongly lacunary I∗‐Cauchy ...
Nimet Akın +2 more
wiley +1 more source
LACUNARY STATISTICAL MEASURABLE CONVERGENCE WITH APPLICATION TO KOROVKIN–TYPE THEOREM [PDF]
The purpose of the article is to investigate the concept of lacunary statistical mean convergence, lacunary statistical measurable convergence and lacunary statistical Lebesgue measurable convergence.
Jasrotia, Swati +4 more
core +1 more source
Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators
Cumhuriyet Science Journal, 2022 In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find the generalized Baskakov-Durrmeyer-Stancu type operators.
Ülkü Dinlemez Kantar +2 more
doaj +1 more source