Statistical summability (C,1) and a Korovkin type approximation theorem
The concept of statistical summability (C,1) has recently been introduced by Móricz [Jour. Math. Anal. Appl. 275, 277-287 (2002)]. In this paper, we use this notion of summability to prove the Korovkin type approximation theorem by using the test ...
S. A. Mohiuddine +2 more
semanticscholar +1 more source
On simultaneous approximation for some modified Bernstein‐type operators
We study the simultaneous approximation for a certain variant of Bernstein‐type operators.
Vijay Gupta, Nurhayat Ispir
wiley +1 more source
Approximation of conic sections by weighted Lupaş post-quantum Bézier curves
This paper deals with weighted Lupaş post-quantum Bernstein blending functions and Bézier curves constructed with the help of bases via (p,q)\left(p,q)-integers. These blending functions form normalized totally positive bases.
Khan Asif +3 more
doaj +1 more source
Lp‐inverse theorem for modified beta operators
We obtain a converse theorem for the linear combinations of modified beta operators whose weight function is the Baskakov operators. To prove our inverse theorem, we use the technique of linear approximating method, namely, Steklov mean.
Vijay Gupta +2 more
wiley +1 more source
A note on the rate of convergence for Chebyshev-Lobatto and Radau systems
This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions.
Berriochoa Elías +3 more
doaj +1 more source
Rate of convergence on Baskakov‐Beta‐Bezier operators for bounded variation functions
We introduce a new sequence of linear positive operators Bn,α(f, x), which is the Bezier variant of the well‐known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f, x) for functions of bounded variation. We also propose an open problem for the readers.
Vijay Gupta
wiley +1 more source
A new approach to nonlinear singular integral operators depending on three parameters
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: Tλ(f;x,y)=∬R2Kλ(t−x,s−y,f(t,s))dsdt,(x,y)∈R2,λ∈Λ,$${T_\lambda }(f;x,y) = \iint\limits_{{\mathbb{R}^2}}K_ ...
Uysal Gumrah
doaj +1 more source
Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
doaj +1 more source
STUDY OF ERROR OF APPROXIMATION OF CONJUGATE FOURIER SERIES IN WEIGHTED CLASS BY ALMOST RIESZ MEANS
The present work is aimed to study error (or degree) of approximation of a function g̃, conjugate to 2π-periodic function g, belonging to weighted W (Lp, ξ (t)) (p ≥ 1) by almost Riesz means.
K. Sharma
semanticscholar +1 more source
On the degree of approximation by Gauss Weierstrass integrals
We obtain the degree of approximation of functions belonging to class Lip(ψ(u, v); p), p > 1 using the Gauss Weierstrass integral of the double Fourier series of f(x, y).
Huzoor H. Khan, Govind Ram
wiley +1 more source

