Results 11 to 20 of about 229 (177)

A modified Post Widder operators preserving eᴬˣ

open access: yes, 2022
In the present paper, we discuss the approximation properties of modified Post-Widder operators, which preserve the test function eᴬˣ. We establish weighted approximation and a direct quantitative estimate for the modified operators.
Gancho TACHEV, Gancho TACHEV   +1 more
core   +1 more source

Strang‐Fix theory for approximation order in weighted Lp‐spaces and Herz spaces

open access: yesJournal of Function Spaces, Volume 4, Issue 1, Page 7-24, 2006., 2006
In this paper, we study the Strang‐Fix theory for approximation order in the weighted Lp ‐spaces and Herz spaces.
Naohito Tomita, Hans G. Feichtinger
wiley   +1 more source

Rate of convergence of bounded variation functions by a Bézier‐Durrmeyer variant of the Baskakov operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 459-468, 2004., 2004
We consider a Bézier‐Durrmeyer integral variant of the Baskakov operators and study the rate of convergence for functions of bounded variation.
Vijay Gupta, Ulrich Abel
wiley   +1 more source

Approximation of conic sections by weighted Lupaş post-quantum Bézier curves

open access: yesDemonstratio Mathematica, 2022
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

On simultaneous approximation for some modified Bernstein‐type operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 71, Page 3951-3958, 2004., 2004
We study the simultaneous approximation for a certain variant of Bernstein‐type operators.
Vijay Gupta, Nurhayat Ispir
wiley   +1 more source

A new class of Bernstein-type operators obtained by iteration

open access: yes, 2023
A new class of Bernstein-type operators are obtained by applying an iterative method of modifications starting from the Bernstein operators. These operators have good properties of approximation of functions and of their derivatives.
Radu Paltanea   +3 more
core   +1 more source

Lp‐inverse theorem for modified beta operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 20, Page 1295-1303, 2003., 2003
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

open access: yesOpen Mathematics, 2016
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

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

open access: yesDemonstratio Mathematica, 2023
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

Rate of convergence on Baskakov‐Beta‐Bezier operators for bounded variation functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 471-479, 2002., 2002
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

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