Results 61 to 70 of about 331,959 (146)

New Iterative Method for Solving Nonlinear Volterra–Fredholm Integral Equations Using Bernoulli Polynomial

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The work is aimed at proposing a novel iterative technique based on the combination of two powerful Taylor′s and Bernoulli polynomials to solve nonlinear Volterra–Fredholm integral equations of the 2nd kind. The main contribution of this work is the development of a Bernoulli–Taylor iterative framework in which Bernoulli projection is combined with ...
Heba A. Abd-Alrazak, Muna M. Mustafa, Samah Mohammed Ali, Intisar Haitham Qasem, Sayed Pouria Talebi   +4 more
wiley   +1 more source

Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman, Amel Souhail, Adel Alatawi, M. Mursaleen, Bilal Bilalov   +4 more
wiley   +1 more source

The generalization of Voronovskaja's theorem for a class of linear and positive operators

Journal of Numerical Analysis and Approximation Theory, 2005
In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
Ovidiu T. Pop
doaj   +2 more sources

Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani, Gopi Prasad   +3 more
wiley   +1 more source

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Journal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen   +2 more
doaj   +1 more source

Weighted Korovkin‐Type Theorem and Some Properties of Szász–Mirakjan Operators Preserving Exponential Functions via Power Series Statistical Convergence

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces. Furthermore, we investigate the approximation properties of the Szász–Mirakjan operators preserving exponential functions ...
Dilek Söylemez, Feras Yousef
wiley   +1 more source

A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators

Journal of Inequalities and Applications
This paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al.
Xiu-Liang Qiu, Murat Bodur, Qing-Bo Cai
doaj   +1 more source

On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces

Journal of Inequalities and Applications, 2008
We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions f such that wσf∈Lp(R), where 1≤p≤∞ and wσ(x)=exp(−σx2 ...
Aneta Sikorska-Nowak, Grzegorz Nowak
doaj   +1 more source

On a theorem of L.V. Kantorovich concerning Newton's method

Journal of Computational and Applied Mathematics, 2003
The author proves the local and semilocal convergence of the Newton method assuming the Fréchet differentiability only at a point. A numerical example shows the potentials of the new theorem.
openaire   +1 more source

A new form of the kantorovich theorem for newton’s method [PDF]

, 2013
Una nueva forma de convergencia de tipo Kantorovich para el me´todo de Newton es establecido para aproximarse localmente a una solución única de la ecuación F (x) = 0 definido sobre un espacio de Banach.
Paredes Soria, Leopoldo, Canales García, Pedro   +1 more
core   +1 more source