Results 41 to 50 of about 1,464 (150)

On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 209-216, 1994., 1993
We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson′s order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C1 functions the local order of approximation given by Lagrange ...
Xin Li
wiley   +1 more source

Fractional Korovkin Theory Based on Statistical Convergence [PDF]

, 2009
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Anastassiou, George A., Duman, Oktay
core  

(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley   +1 more source

On some regular and singular problems of Birkhoff interpolation

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 217-226, 1994., 1994
Here we investigate the pure (0, 1, …, r − 2, r)‐interpolation problem on the zeros of , α > −1, where is the Jacobi polynomial of degree n with β = α.
N. Jhunjhunwala, J. Prasad
wiley   +1 more source

Statistical approximation properties of λ-Bernstein operators based on q-integers

Open Mathematics, 2019
In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
doaj   +1 more source

Latter research on Euler-Mascheroni constant [PDF]

, 2013
In this work, we present a review and an example on some latter results on the problem of approximating the Euler-Mascheroni constant. We use the method firstly introduced in [C. Mortici, Product Approximations via Asymptotic Integration Amer.
Cristea, Valentin Gabriel, Mortici, Cristinel   +1 more
core  

Korovkin second theorem via statistical summability (C,1)

, 2013
Korovkin type approximation theorems are useful tools to check whether a given sequence (Ln)n≥1 of positive linear operators on C[0,1] of all continuous functions on the real interval [0,1] is an approximation process.
S. A. Mohiuddine, A. Alotaibi
semanticscholar   +1 more source

On the degree of approximation of the Hermite and Hermite‐Fejer interpolation

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 47-56, 1992., 1991
Here we find the order of convergence of the Hermite and Hermite‐Fejér interpolation polynomials constructed on the zeros of (1 − x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1) = 1.
J. Prasad
wiley   +1 more source

Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
doaj   +1 more source