Results 11 to 20 of about 71 (70)

Statistical Korovkin-type theorem for monotone and sublinear operators

open access: yes, 2023
In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T., Ionut T. Iancu
core   +1 more source

A strong converse inequality for the iterated Boolean sums of the Bernstein operator

open access: yes, 2022
We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.
DRAGANOV, Borislav R.
core   +1 more source

Baskakov-Kantorovich operators reproducing affine functions

open access: yes, 2021
We present a new Kantorovich modification of Baskakov operators which reproduce affine functions. We present an upper estimate for the rate of convergence of the new operators in polynomial weighted spaces and characterize all functions for which there ...
BUSTAMANTE, Jorge
core   +1 more source

A study on pointwise approximation by double singular integral operators [PDF]

open access: yes, 2015
In the present work we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lx(f;x,y) = integral integral(D)f(t,s)H-lambda(t-
Gumrah Uysal   +5 more
core   +2 more sources

On approximation of copulas

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 259-269, 1999., 1999
New sufficient conditions for strong approximation of copulas, generated by sequences of partitions of unity, are given. Results are applied to the checkerboard and Bernstein approximations.
Tomasz Kulpa
wiley   +1 more source

Constrained visualisation using Shepard-Bernoulli interpolation operator

open access: yes, 2020
We consider Shepard-Bernoulli operator in order to solve a problem of interpolation of scattered data that is constrained to preserve positivity, using the technique described by K.W. Brodlie, M.R. Asim and K. Unsworth (2005). We also give some numerical
CĂTINAȘ, Teodora
core   +1 more source

On approximation in the Lp‐norm by Hermit interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 35-39, 1992., 1991
Lp‐approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected.
Min Guohua
wiley   +1 more source

Dunkl analogue of Szász-mirakjan operators of blending type

open access: yesOpen Mathematics, 2018
In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal   +2 more
doaj   +1 more source

Approximation properties of Kantorovich type q-Balázs-Szabados operators

open access: yesDemonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

Approximation by max-product operators of Kantorovich type: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

open access: yes, 2019
We associate to various linear Kantorovich type approximation operators, nonlinear max-product operators for which we obtain quantitative approximation results in the uniform norm, shape preserving properties and localization results. Mathematics Subject
COROIANU, Lucian, GAL, Sorin G.
core   +1 more source

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