Results 11 to 20 of about 981 (74)

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type.
Ahmed F. Jabbar, Amal K. Hassan
doaj   +2 more sources

Convergent behavior of extended stalk regions from staphylococcal surface proteins with widely divergent sequence patterns

Protein Science, Volume 32, Issue 8, August 2023., 2023
Abstract Staphylococcus epidermidis and Staphylococcus aureus are highly problematic bacteria in hospital settings. A major challenge is their ability to form biofilms on abiotic or biotic surfaces. Biofilms are well‐organized, multicellular bacterial aggregates that resist antibiotic treatment and often lead to recurrent infections.
Alexander E. Yarawsky, Andrea L. Ori, Lance R. English, Steven T. Whitten, Andrew B. Herr   +4 more
wiley   +1 more source

A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The objective of this paper is to construct univariate and bivariate blending type α‐Schurer–Kantorovich operators depending on two parameters α ∈ [0,1] and ρ > 0 to approximate a class of measurable functions on [0,1 + q], q > 0. We present some auxiliary results and obtain the rate of convergence of these operators.
Mohammad Ayman-Mursaleen, Nadeem Rao, Mamta Rani, Adem Kilicman, Ahmed Ahmed Hussin Ali Al-Abied, Pradeep Malik, R. U. Gobithaasan   +6 more
wiley   +1 more source

On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri, Jamshid Saeidian, Firdous A. Shah   +2 more
wiley   +1 more source

New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The quantum (or q‐) calculus is widely applied in various operators which include the q‐difference (q‐derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and study q‐differential operator associated with q‐Mittag ...
Shahid Khan, Saqib Hussain, Ilyas Khan, Amnah s. Al-johani, Mulugeta Andualem, Saima Arshed   +5 more
wiley   +1 more source

Approximation Properties and q‐Statistical Convergence of Stancu‐Type Generalized Baskakov‐Szász Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai, Adem Kilicman, Mohammad Ayman Mursaleen, Mikail Et   +3 more
wiley   +1 more source

On a New Modification of Baskakov Operators with Higher Order of Approximation

Mathematics
A new Goodman–Sharma-type modification of the Baskakov operator is presented for approximation of bounded and continuous functions on [0,∞). We study the approximation error of the proposed operator.
Ivan Gadjev, Parvan Parvanov, Rumen Uluchev   +2 more
doaj   +1 more source

Sampling and Reconstruction of Signals in a Reproducing Kernel Subspace of $L^p({\Bbb R}^d)$

, 2009
In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of $L^p(\Rd), 1\le p\le \infty$, associated with an idempotent integral operator whose kernel has certain off-diagonal decay and regularity.
Nashed, M. Zuhair, Sun, Qiyu
core   +1 more source

Approximation of functions of two variables by certain linear positive operators

, 2007
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables.
Bascanbaz-Tunca, Gulen, Olgun, Ali, Tasdelen, Fatma   +2 more
core   +1 more source

On the Approximation Process of Shifted‐Knots Bivariate Stancu‐Type Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper focuses on defining bivariate Stancu‐type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the
Abdullah Alotaibi, Ding-Xuan Zhou
wiley   +1 more source