Results 21 to 30 of about 173,316,114 (259)

Dunkl generalization of Phillips operators and approximation in weighted spaces [PDF]

open access: yes, 2020
The purpose of this article is to introduce a modification of Phillips operators on the interval [12,∞) via a Dunkl generalization. We further define the Stancu type generalization of these operators as S∗n,υ(f;x)=n2eυ(nχn(x))∑∞ℓ=0(nχn(x))ℓγυ(ℓ)∫∞0e−ntnℓ+
Kilicman, Adem   +3 more
core   +1 more source

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

open access: yesمجلة 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   +2 more
doaj   +1 more source

Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces [PDF]

open access: yes, 2004
summary:Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied.
Israfilov, Daniyal M.
core   +1 more source

Approximation properties of modified Jain-Gamma operators

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
doaj   +1 more source

On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators

open access: yesJournal of Function Spaces, 2018
We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form. We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish ...
Lian-Ta Shu, Guorong Zhou, Qing-Bo Cai
doaj   +1 more source

Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus

open access: yesJournal of Inequalities and Applications, 2019
The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
doaj   +1 more source

A new construction of Lupaş operators and its approximation properties

open access: yesAdvances in Difference Equations, 2021
The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions.
Mohd Qasim   +3 more
doaj   +1 more source

Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω [PDF]

open access: yes, 2004
There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of ...
Samko, Natasha, Karapetyants, Nikolai
core   +1 more source

On the Approximation by Balázs–Szabados Operators

open access: yesMathematics, 2021
We present three new approximation properties of the Balázs–Szabados operators. Firstly, we prove that, in certain cases, these operators approximate some super-exponential functions on compact intervals.
Adrian Holhoş
doaj   +1 more source

MODULUS OF CONTINUITY OF THE DIRICHLET SOLUTIONS [PDF]

open access: yes, 2009
Let D be a bounded domain in Rn with n >= 2. For a function f on ∂D we denote by HDf the Dirichlet solution of f over D. It is classical that if D is regular, then HD maps the family of continuous boundary functions to the family of harmonic functions in
Aikawa, Hiroaki
core   +1 more source

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