Results 11 to 20 of about 173,324,808 (230)

On Generalized Moduli of Quasi-Banach Space

open access: yesJournal of Function Spaces, 2018
We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoothness, and modulus of Zou-Cui of quasi-Banach spaces and give some important properties of these moduli.
Young Chel Kwun   +4 more
doaj   +2 more sources

Modulus of smoothness and theorems concerning approximation on compact groups [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define “spherical” modulus of smoothness. So, we prove Stechkin and Jackson-type theorems.
H. Vaezi, S. F. Rzaev
doaj   +2 more sources

Global smoothness and approximation by generalized discrete singular operators [PDF]

open access: yesJournal of Numerical Analysis and Approximation Theory, 2014
In this article we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to \(L_{p}\) norm for \( 1\leq p\leq \infty ,\) by involving ...
George A. Anastassiou, Merve Kester
doaj   +3 more sources

Functions of Bounded kth p-Variation and Continuity Modulus [PDF]

open access: yesJournal of Function Spaces, 2015
A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
Odalis Mejía, Pilar Silvestre
doaj   +2 more sources

On generalized Baskakov-Durrmeyer-Stancu type operators

open access: yesDemonstratio Mathematica, 2017
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish   +2 more
doaj   +2 more sources

MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS [PDF]

open access: yes, 2020
Using one-sided Steklov means, we introduce a new modulus of smoothness in weighted Lorentz spaces. The direct and inverse approximation theorem for this modulus of smoothness are proved.
S. S. Volosivets
core   +1 more source

On approximation of functions by rational functions in weighted generalized grand Smirnov classes [PDF]

open access: yes, 2022
Let G be a doubly connected domain in the complex plane C, bounded by Ahlfors 1-regular curves. In this study the approximation of the functions by Faber-Laurent rational functions in the omega-weighted generalized grand Smirnov classes epsilon(p),theta)
Jafarov, Sadulla Z., Sadulla Z. Jafarov
core   +1 more source

A New Modulus of Smoothness for Uniform Approximation [PDF]

open access: yes, 2018
نظريات التقريب الافضل باستخدام مقياس النعومه الاعتيادي لا تعطي تقريبا منتظمة. كذلك نحتاج في بعض الاحيان لتطوير درجة التقريب الافضل قريبا من نهايات الفترة. لذا نحتاج لتطوير مقياس النعومة الاعتيادي. في هذا البحث عرفنا مقياسا جديدا للنعومة للحصول على تقريبا
Hussein, Bushra Khudhair   +1 more
core   +1 more source

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

open access: yesJournal 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

Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

open access: yesAdvances in Difference Equations, 2020
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
doaj   +1 more source

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