Results 61 to 70 of about 1,148 (144)
A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
wiley +1 more source
Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]
, 2010 2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Anastassiou, George A., Duman, Oktay
core
Generalized $A$-statistical convergence and a Korovkin type approximation theorem for double sequences [PDF]
Miskolc Mathematical Notes, 2013 The authors were supported by the Scientific Research Project Fund of Cumhuriyet University under the project number F334.
Belen, Cemal, Yildirim, Mustafa
openaire +2 more sources
Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman +3 more
wiley +1 more source
Korovkin type approximation theorem via AI2 -summability methods
Filomat, 2016 In this paper we consider the notion of AI2-summability for real double sequences which is an extension of the notion of AI-summability for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of AI2-summability.
Dutta, Sudipta +2 more
openaire +2 more sources
Korovkin type approximation theorems for weighted $$\alpha \beta $$ α β -statistical convergence [PDF]
Bulletin of Mathematical Sciences, 2015 Summary: The concept of \(\alpha \beta\)-statistical convergence was introduced and studied by \textit{H. Aktuğlu} [J. Comput. Appl. Math. 259, Part A, 174--181 (2014; Zbl 1291.41015)]. In this work, we generalize the concept of \(\alpha \beta\)-statistical convergence and introduce the concept of weighted \(\alpha \beta\)-statistical convergence of ...
KARAKAYA, Vatan, Karaisa, Ali
openaire +3 more sources
Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13718-13733, December 2024.Recently, the authors constructed operators acting on a space of functions defined on [0,∞)$$ \left[0,\infty \right) $$ and preserving 1 and xj$$ {x}^j $$ for a given j∈ℕ$$ j\in \mathrm{\mathbb{N}} $$. To this end, they considered suitable modifications of the Post–Widder and gamma operators.
Ulrich Abel +3 more
wiley +1 more source
Cumhuriyet Science Journal, 2021 In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
doaj +1 more source
Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley +1 more source
Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar +2 more
wiley +1 more source