Results 21 to 30 of about 12,005 (284)

On Shape Parameter α-Based Approximation Properties and q-Statistical Convergence of Baskakov-Gamma Operators

Journal of Mathematics, 2022
We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of ...
Ming-Yu Chen, Md Nasiruzzaman, Mohammad Ayman Mursaleen, Nadeem Rao, Adem Kilicman   +4 more
doaj   +1 more source

A modulus of smoothness for some Banach function spaces

Ukrains’kyi Matematychnyi Zhurnal, 2023
UDC 517.5 Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties.  A constructive characterization of the Lipschitz class is obtained by using the Jackson-type direct theorem and inverse theorem of trigonometric ...
openaire   +4 more sources

On the modulus of smoothness and divergent series in Banach spaces.

Michigan Mathematical Journal, 1963
J. Lindenstrauss
openaire   +4 more sources

The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

مجلة بغداد للعلوم, 2022
      In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed.
Habeeb A. Aal-Rkhais, Ahmed H. Kamil, Khalid Fanoukh Al Oweidi   +2 more
doaj   +1 more source

Some Moduli of Angles in Banach Spaces

Mathematics, 2022
In this paper, we mainly discuss the angle modulus of convexity δXa(ϵ) and the angle modulus of smoothness ρXa(ϵ) in a real normed linear space X, which are closely related to the classical modulus of convexity δX(ϵ) and the modulus of smoothness ρX(ϵ ...
Dandan Du, Asif Ahmad, Anwarud Din, Yongjin Li   +3 more
doaj   +1 more source

Some Modulus and Normal Structure in Banach Space

Journal of Inequalities and Applications, 2009
We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
doaj   +2 more sources

Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by L-modulus of smoothness

Journal of Functional Analysis, 2019
We prove a sharp estimate for the k-modulus of smoothness, modelled upon a L p -Lebesgue space, of a function f in W k L p n n + k p , p ( Ω ) , where Ω is a domain with minimally smooth boundary and finite Lebesgue measure, k , n ∈ N , k n and n n − k p
Amiran Gogatishvili, Júlio S. Neves, B. Opic   +2 more
semanticscholar   +1 more source

A Coefficient Related to Some Geometric Properties of a Banach Space

Journal of Inequalities and Applications, 2009
We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space X. Some basic properties of this new coefficient are investigated.
Zhanfei Zuo, Yunan Cui
doaj   +2 more sources

On certain Baskakov-Durrmeyer type operators [PDF]

Surveys in Mathematics and its Applications, 2010
This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.
Asha Ram Gairola
doaj  

Blending type approximation by Stancu-Kantorovich operators based on Pólya-Eggenberger distribution

Open Physics, 2017
In the paper the authors introduce the Kantorovich variant of Stancu operators based on Pólya-Eggenberger distribution. By making use of this new operator, we obtain some indispensable auxiliary results.
Kajla Arun, Araci Serkan
doaj   +1 more source