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(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core +1 more source

Inverse theorem for the Szász-Durrmeyer operators

Journal of Numerical Analysis and Approximation Theory, 2009
In the present paper we establish direct and inverse local properties for the Szász-Durrmeyer operators. These operators are introduced in [1] and independently considered in [4] as the generalized integral operators proposed by S.M. Mazhar and V.
Tomasz Świderski
doaj +2 more sources

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç +2 more
wiley +1 more source

Approximation of complex q-Beta-Baskakov-Szász-Stancu operators in compact disk

Demonstratio Mathematica
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically ...
Cheregi Larisa, Mursaleen Mohammad
doaj +1 more source

Norm-Controlled Inversion in Smooth Banach Algebras, I

, 2012
Every differential subalgebra of a unital $C^*$-algebra is spectrally invariant. We derive a quantitative version of this well-known fact and show that a minimal amount of smoothness, as given by a differential norm, already implies norm control.
Gröchenig, Karlheinz, Klotz, Andreas
core +2 more sources

An experimental flow regime map to dynamically structure gas–solid bubbling fluidized beds

AIChE Journal, Volume 71, Issue 5, May 2025.
Abstract Employing oscillatory gas flows to create ordered bubble dynamics in fluidized beds represents a promising approach in reactor design, enhancing efficiency, scalability, and control. This study reports an extensive experimental campaign that identifies the operational regime for structuring Geldart B fluidized beds, introducing a novel pattern
Kaiqiao Wu +3 more
wiley +1 more source

Characteristics and outcomes of older patients undergoing out‐ versus inpatient surgery in Europe. A secondary analysis of the Peri‐interventional Outcome Study in the Elderly (POSE)

Acta Anaesthesiologica Scandinavica, Volume 69, Issue 4, April 2025.
Abstract Background The number of older patients undergoing surgical procedures with anaesthesia care is projected to rise. In order to cope with the increased demand, the expansion of outpatient surgery may play a decisive role. We aim to investigate the characteristics and outcomes of the older outpatient population.
Linda Grüßer +639 more
wiley +1 more source

Curves defined by a class of discrete operators: Approximation result and applications

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2388-2403, 30 January 2025.
In approximation theory, classical discrete operators, like generalized sampling, Szász‐Mirak'jan, Baskakov, and Bernstein operators, have been extensively studied for scalar functions. In this paper, we look at the approximation of curves by a class of discrete operators, and we exhibit graphical examples concerning several cases. The topic has useful
Rosario Corso, Gabriele Gucciardi
wiley +1 more source

A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
wiley +1 more source

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman +3 more
wiley +1 more source

mathematics
k-functional