Results 1 to 10 of about 12,005 (284)

Characterization of mixed modulus of smoothness in weighted \(L^p\) spaces

Journal of Numerical Analysis and Approximation Theory, 2016
Characterization class for mixed modulus of smoothness in Lebesgue spaces with Muckenhoupt weights are investigated.
Ramazan Akgün
doaj   +6 more sources

Generalized Jacobian Weighted Modulus of Smoothness

Iraqi Journal of Science, 2023
      The topic of modulus of smoothness still gets the interest of many researchers due to its applicable usage in different fields, especially for function approximation. In this paper, we define a new modulus of smoothness of weighted type. The properties of our modulus are studied.
Ahmad AbdulKarim Al-Dhahabi, Hawraa Abbas Almurieb   +1 more
openaire   +2 more sources

On a third-order modulus of smoothness

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023
In this paper we define a new third-order modulus of smoothness and we prove the conservation by Stancu operators of the Lipschitz classes defined with this modulus.
Maria Talpau Dumitru
openaire   +3 more sources

Best Approximation of Unbounded Functions by Modulus of Smoothness

European Journal of Pure and Applied Mathematics, 2023
In this paper, we study the approximation of unbounded functions in a weighted space by modulus of smoothness using various linear operators. We establish direct theorems for such approximations and analyze the properties of the modulus of smoothness within the same space.
Alaa Adnan Auad, Mohammed A. Hilal, Nihad Shareef Khalaf   +2 more
openaire   +2 more sources

The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces [PDF]

Journal of Function Spaces, 2019
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang, Meiling Zhang, Yujia Zhan   +2 more
doaj   +2 more sources

–Mixed Modulus of Smoothness

Baghdad Science Journal
يعتبر معامل او مقياس النعومة من المواضيع الاساسية والمهمة في التحليل الرياضي وتطبيقاته المتعددة. حيث يستخدم قياس نعومة الدوال معامل النعومة لاستنتاج الخصائص التقريبية للدوال التي يتعذر ايجاد قيمة دقيقة لها. لمقياس النعومة دور اساسي في العديد من مجالات الرياضيات وله تطبيقات مختلفة في نظرية التقريب و في التحليل العددي وخاصة في تحليل الطرق العددية لحل ...
Rehab Amer Kamel, Eman Samir Bhaya
openaire   +2 more sources

A New Modulus of Smoothness for Uniform Approximation

JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2018
The estimates of best approximation using classical modulus of smoothness is not uniform. Also we sometimes need to improve the degree of best approximation near the end points. Thus we need to improve this classical modulus of smoothness. Here we define a new modulus of smoothness to achieve uniform estimates of  best approximation and an improvement ...
Eman Samir Bhaya, Bushra Khudhair Hussein   +1 more
openaire   +3 more sources

Realization and characterization of modulus of smoothness in weighted Lebesgue spaces [PDF]

St. Petersburg Mathematical Journal, 2015
We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces \(L_{\omega}^{p}\), \(1 < p < \infty\), with weights \(\omega\) satisfying the Muckenhoupt’s \(A_{p}\) condition. Also, a realization result and equivalence between modulus of smoothness and the Peetre \(K\)-functional are proved in \(L_{\omega}^{p}\) for ...
R. Akgün
openaire   +5 more sources

Characterization of Best Algebraic Approximation by an Algebraic Modulus of Smoothness

Journal of Approximation Theory, 1997
Denoting by \( x \oplus h \) the weighted addition given by \( x \oplus h = x \sqrt{1-h^2} + \sqrt{1-x^2}h, \forall x, h \in [-1, 1], \) the author considers the difference operator of \( r\) th order of the function \( f: [-1, 1] \rightarrow \mathbb{R}, \) defined by \( \Delta_h^r f = (\Delta_h\circ\ldots\circ\Delta_h)(f), \) (\(r \) times) where \( (\
M. Felten
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On a modified modulus of smoothness of a Banach space

Journal of Numerical Analysis and Approximation Theory, 1993
Not available.
Ioan Şerb
doaj   +4 more sources