Results 41 to 50 of about 80 (74)

A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

open access: yesMathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +1 more source

Peetre conjecture on real interpolation spaces of Besov spaces and Grid K functional

open access: yes
In this paper, Peetre's conjecture about the real interpolation space of Besov space {\bf is solved completely } by using the classification of vertices of cuboids defined by {\bf wavelet coefficients and wavelet's grid structure}. Littlewood-Paley analysis provides only a decomposition of the function on the ring.
Yang, Qixiang   +3 more
openaire   +2 more sources

Convergence of \(\lambda\)-Bernstein - Kantorovich operators in the \(L_p\)- norm

open access: yesJournal of Numerical Analysis and Approximation Theory
We show the convergence of \(\lambda\)-Bernstein - Kantorovich operators defined by Acu et al. [J. Ineq. Appl. 2018], for functions in \(L_p[0,1],\, p\geq 1\). We also determine the convergence rate via integral modulus of smoothness.
Purshottam N. Agrawal, Behar Baxhaku
doaj   +1 more source

Approximation Properties of a Fractional Integral-Type Szász–Kantorovich–Stancu–Schurer Operator via Charlier Polynomials

open access: yesMathematics
The goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials.
Nadeem Rao   +2 more
doaj   +1 more source

Szász–Durrmeyer Operators Involving Confluent Appell Polynomials

open access: yesAxioms
This article is concerned with the Durrmeyer-type generalization of Szász operators, including confluent Appell polynomials and their approximation properties.
Kadir Kanat, Selin Erdal
doaj   +1 more source

A New Characterization of Weighted Peetre K-Functionals (II)

open access: yes, 2007
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006. Certain types of weighted Peetre K-functionals are characterized by means of the classical moduli of smoothness taken on a proper linear transforms of the function. The weights with
Draganov, Borislav, Ivanov, Kamen
openaire   +1 more source

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

open access: yesMathematics
In the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented.
Md. Nasiruzzaman   +3 more
doaj   +1 more source

Approximation in quantum calculus of the Phillips operators by using the sequences of q-Appell polynomials

open access: yesJournal of Inequalities and Applications
In this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions ν s , q ( z ) = ( z − 1 2 [ s ] q ) ϱ $\nu _{s,q}(z ...
Md. Nasiruzzaman   +4 more
doaj   +1 more source

Adjoint Bernoulli’s Kantorovich–Schurer-Type Operators: Univariate Approximations in Functional Spaces

open access: yesMathematics
In this work, we first establish a new connection between adjoint Bernoulli’s polynomials and gamma function as a new sequence of linear positive operators denoted by Sr,ς,λ(.;.).
Harun Çiçek   +3 more
doaj   +1 more source

Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators

open access: yesKuwait Journal of Science
In this work, we investigate some approximation properties of blending type univariate and bivariate Schurer-Kantorovich operators based on shape parameter λ ∈ [−1, 1]. We evaluate some moment estimates and obtain several direct theorems.
Reşat Aslan
doaj   +1 more source

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