Results 41 to 50 of about 165,936,345 (87)
Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
wiley +1 more source
Simultaneous approximation for the Phillips operators
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We study the simultaneous approximation properties of the well‐known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.
N. K. Govil +2 more
wiley +1 more source
Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures [PDF]
, 2018 We prove the recent conjecture that Minkowski's question mark measure is regular in the sense of logarithmic potential theory. The proof employs: an Iterated Function System composed of Möbius maps, which yields the classical Stern–Brocot sequences, an ...
Mantica Giorgio +3 more
core +1 more source
Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +3 more
wiley +1 more source
Shape‐preserving multivariate polynomial approximation in C[−1,1]m
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 325-333, 2004., 2004 We construct multivariate polynomials attached to a function f of m variables, m ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate Ditzian‐Totik ω2φ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function.
Ciprian S. Gal, Sorin G. Gal
wiley +1 more source
Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman +5 more
wiley +1 more source
Uncertain Dynamical Systems 2014
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Ivanka Stamova, Haydar Akca, Gani Stamov
wiley +1 more source
Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
doaj +1 more source
Refined Estimates for the Equivalence Between Ditzian-Totik Moduli of Smoothness and K-Functionals [PDF]
The aim of this note is to study the magnitude of the constants in the equivalence between the first and secondorder Ditzian-Totik moduli of smoothness and related K-functionals.
Tachev, Gancho T.
core +1 more source
, 2020 In the present paper, the Bezier variant of Jakimovski-Leviatan-Peltenea operators involving Sheffer polynomials is introduced and the degree of approximation by these operators is investigated with the aid of Ditzian-Totik modulus of smoothness ...
KUMAR, Ajay, AGRAWAL, P.
core +1 more source