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Related papers: On (p,q)-analogue of Bernstein Operators (Revised)

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We have fundamentally corrected the proofs of the theorems from our paper [9] by giving an entirely different approach, using quite a simple method based on applications of some elementary inequalities, well-known H\"older's inequality, and…

General Mathematics · Mathematics 2024-04-10 Tatjana Z. Mirkovic , Slobodan B. Trickovic , Miomir S. Stankovic

Unlike the classical polynomial case there has not been invented up to very recently a tool similar to the Bernstein-Bezier representation which would allow us to control the behavior of the exponential polynomials. The exponential analog…

Numerical Analysis · Mathematics 2009-01-08 O. Kounchev , H. Render

Using P\'{o}lya's urn model with negative replacement we introduce a new Bernstein-type operator and we show that the new operator improves upon the known estimates for the classical Bernstein operator. We also provide numerical evidence…

Classical Analysis and ODEs · Mathematics 2017-10-25 Mihai N. Pascu , Nicolae R. Pascu , Florenţa Tripşa

By using p-adic q-integrals, we study the q-Bernoulli numbers and polynomials of higher order.

Number Theory · Mathematics 2015-06-26 Taekyun Kim

In this note we present a corregindium to our paper "Krull dimension, Overrings and Semistar operations of an integral Domain", Journal of Algebra, 321 (2009), 1497--1509.

Commutative Algebra · Mathematics 2012-06-01 Abdeslam Mimouni

We introduce a new type of Bernstein operators, which can be used to approximate the functions with inner singularities. The direct and inverse results of the weighted approximation of this new type of combinations are given.

Functional Analysis · Mathematics 2012-08-21 Wen-ming Lu , Lin Zhang

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in…

Geometric Topology · Mathematics 2026-05-22 Laurence Boxer

In this paper we consider the weighted q-Bernoulli numbers and polynomials which are differnt type of Carlitz's q-Bernoulli numbers and polynomials. From these numbers and polynomials, we derive some interesting formulaes and identities.

Number Theory · Mathematics 2010-11-25 Taekyun Kim

We introduce another new type of combinations of Bernstein operators in this paper, which can be used to approximate the functions with inner singularities. The direct and inverse results of the weighted approximation of this new type…

Functional Analysis · Mathematics 2011-06-28 Wen-ming Lu , Lin Zhang

We answer a question raised in ``Peripheral elements in reduced Alexander modules'' [J. Knot Theory Ramifications 31 (2022), 2250058]. We also correct a minor error in that paper.

Geometric Topology · Mathematics 2025-11-24 Daniel S. Silver , Lorenzo Traldi

The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions of two variables. By using these type polynomials, we derive recurrence formulas and some new interesting identities related to the second…

Number Theory · Mathematics 2013-12-06 Mehmet Acikgoz , Serkan Araci

We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analogue of the Berezin transform on the unit ball. We construct q-analogues of weighted Bergman spaces, Toeplitz operators and covariant symbol calculus.…

Quantum Algebra · Mathematics 2009-11-10 D. Shklyarov , G. Zhang

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.

Analysis of PDEs · Mathematics 2009-01-15 Leandro Del Pezzo , Julián Fernández Bonder

We extend in several respects our earlier work on O(p^2) corrections to matrix elements of the electroweak penguin operator O_{ewp}. First, to facilitate comparison with certain lattice studies we calculate O(p^2) corrections to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vincenzo Cirigliano , Eugene Golowich

We obtain eigenvalues and eigenvectors of the $(\alpha,q)$-Bernstein operator $T_{n,q,\alpha}$. Moreover, we will give the limit behaviour of these eigenvalues and eigenvectors for all $q.$

Classical Analysis and ODEs · Mathematics 2020-07-21 Bülent Köroğlu , Fatma Taşdelen Yeşildal

In this paper we consider the extended q-Bernstein polynomials which are constructed by T. Kim and we investigate some properties.

Number Theory · Mathematics 2010-10-05 T. Kim , C. S. Ryoo , H. Yi

In this note a characterization of anallytically Riesz operators is given. This work completes the article [1].

Functional Analysis · Mathematics 2015-07-21 Enrico Boasso

We construct the q-analogue of Euler-Barnes' numbers and polynomials, and investigate their some properties.

Number Theory · Mathematics 2007-05-23 Taekyun Kim , Lee-Chae Jang

In this short note, we improve the famous Reid Inequality related to linear operators.

Functional Analysis · Mathematics 2017-04-25 Mohammed Hichem Mortad

In this paper, we consider the Carlitz's type q-analogue of Changhee numbers and polynomials and we give some explicit formulae for these numbers and polynomials.

Number Theory · Mathematics 2017-08-23 D. V. Dolgy , G. W. Janf , H. I. Kwon , T. Kim