Results 21 to 30 of about 618,048 (272)

A new type of Szász–Mirakjan operators based on q-integers

open access: yesJournal of Inequalities and Applications, 2023
In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Pembe Sabancigil   +2 more
doaj   +1 more source

Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators

open access: yesAbstract and Applied Analysis, 2012
We introduce summation-integral-type q-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem.
Mei-Ying Ren, Xiao-Ming Zeng
doaj   +1 more source

ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR

open access: yesПроблемы анализа, 2018
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
doaj   +1 more source

On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators

open access: yesJournal of Inequalities and Applications, 2016
Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen   +2 more
doaj   +1 more source

Approximation properties of λ-Bernstein operators

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
doaj   +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

Approximate converse theorem

open access: yesAsian Journal of Mathematics, 2015
The theme of this thesis is an "approximate converse theorem" for globally unramified cuspidal representations of PGL(n, A), n ≥ 1. For a given set of Langlands parameters for some places of Q, we can compute ε > 0 such that there exists a genuine globally unramified cuspidal representation, whose Langlands parameters are within ε of the given ones ...
openaire   +4 more sources

Universal approximation theorem for Dirichlet series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane.
O. Demanze, A. Mouze
doaj   +1 more source

Approximation for a generalization of Bernstein operators

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).
Guofen Liu, Xiuzhong Yang
doaj   +1 more source

Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations

open access: yesFractal and Fractional, 2022
In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions.
Yinuo Yang   +3 more
doaj   +1 more source

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