Results 1 to 10 of about 173,725,199 (293)

Convergence order of one regularization method

open access: yesMathematical Modelling and Analysis, 2003
The multiscale solution of the Klein‐Gordon equations in the linear theory of (two‐phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets.
S. Guseinov, I. Volodko
doaj   +3 more sources

Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence

open access: yesJournal of Numerical Analysis and Approximation Theory, 2021
We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used.
Ioannis K. Argyros, Santhosh George
doaj   +7 more sources

I-Statistical Rough Convergence of Order α

open access: yesJournal of New Theory, 2022
The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
doaj   +1 more source

On Some Fixed Point Iterative Schemes with Strong Convergence and Their Applications

open access: yesMathematical and Computational Applications, 2023
In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the fixed points of contractive type mappings.
Anku, Mona Narang, Vinay Kanwar
doaj   +1 more source

Weighted modulus Sθ-convergence of order α in probability

open access: yesArab Journal of Mathematical Sciences, 2017
Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0).
Sanjoy Ghosal   +2 more
doaj   +1 more source

Higher-Order Multiplicative Derivative Iterative Scheme to Solve the Nonlinear Problems

open access: yesMathematical and Computational Applications, 2023
Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculus which utilizes the multiplicative and division operator as compared to addition and subtraction.
Gurjeet Singh   +2 more
doaj   +1 more source

New Iterative Methods for Solving Nonlinear Problems with One and Several Unknowns

open access: yesMathematics, 2018
In this manuscript, a new type of study regarding the iterative methods for solving nonlinear models is presented. The goal of this work is to design a new fourth-order optimal family of two-step iterative schemes, with the flexibility through weight ...
Ramandeep Behl   +3 more
doaj   +1 more source

Statistical convergence in vector lattices

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets ...
A. Aydın, F. Temizsu
doaj   +1 more source

Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equations

open access: yesМатематичні Студії, 2021
In the earlier work, expensive Taylor formula and conditions on derivatives up to the eighth order have been utilized to establish the convergence of a derivative free class of seventh order iterative algorithms.
I.K. Argyros   +5 more
doaj   +1 more source

On (Δm,I)-Statistical Convergence of Order α

open access: yesThe Scientific World Journal, 2014
The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro ...
Mikail Et   +2 more
doaj   +1 more source

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