Results 71 to 80 of about 1,445 (159)
Fractional Korovkin Theory Based on Statistical Convergence [PDF]
, 2009 2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Anastassiou, George A., Duman, Oktay
core
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
Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials
Journal of Inequalities and ApplicationsThis article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
doaj +1 more source
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
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 +4 more
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
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
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
On approximate Hermite-Hadamard type inequalities [PDF]
, 2015 The main results of this paper offer sufficient conditions in order that an approximate lower Hermite–Hadamard type inequality implies an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core
On a discrete Korovkin theorem
Journal of Approximation Theory, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources