Results 81 to 90 of about 223 (167)

A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators

Journal of Numerical Analysis and Approximation Theory, 2011
In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca, Ayçegül Erençin   +1 more
doaj   +2 more sources

Nonlocal Lagrange multipliers and transport densities

Bulletin of Mathematical Sciences
We prove the existence of generalized solutions of the Monge–Kantorovich equations with fractional [Formula: see text]-gradient constraint, [Formula: see text], associated to a general, possibly degenerate, linear fractional operator of the type, ℒsu ...
Assis Azevedo, José Francisco Rodrigues, Lisa Santos   +2 more
doaj   +1 more source

Kantorovich-Stancu type operators including Boas-Buck type polynomials

Hacettepe Journal of Mathematics and Statistics, 2017
Summary: The aim of the paper is to introduce a Kantorovich-Stancu type modification of a generalization of Szász operators defined via Boas-Buck type polynomials and to obtain rates of convergence for these operators. Furthermore, we give the figures for comparing approximation properties of the operators \(\mathcal{K}^{(\alpha,\beta)}_n\) and ...
ÇEKİM, Bayram, AKTAŞ, Rabia, İÇÖZ, Gürhan   +2 more
openaire   +4 more sources

Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]

Arab J Math, 2023
Anastassiou GA, Karateke S.
europepmc   +1 more source

Extending Kantorovich-Type Inequalities to Normal Operators

Advances in Linear Algebra & Matrix Theory, 2018
We will extend some of the Kantorovich-Type inequalities for positive finite dimensional matrices to infinite dimensional normal operators by applying The Two-Nonzero Component Lemma and converting them to an An-tieigenvalue-Type problem.
openaire   +2 more sources

Linear Approximation Processes Based on Binomial Polynomials

Mathematics
The purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces.
Octavian Agratini, Maria Crăciun
doaj   +1 more source

The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]

Calc Var Partial Differ Equ, 2023
Sodini GE.
europepmc   +1 more source

Analyzing Convergence in Sequences of Uncountable Iterated Function Systems—Fractals and Associated Fractal Measures

Mathematics
In this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
doaj   +1 more source

Inequalities of Furuta and Mond–Pečarić on the Hadamard product

Journal of Inequalities and Applications, 2000
As a continuation of (J. Mičić, Y. Seo, S.-E. Takahasi and M. Tominaga, Inequalities of Furuta and Mond–Pečarić, Math. Ineq. Appl., 2 (1999), 83–111), we shall discuss complementary results to Jensen's type inequalities ...
Takahasi Sin-El, Mićić Jadranka, Pečarić Josip, Seo Yuki   +3 more
doaj  

Symmetrized Neural Network Operators in Fractional Calculus: Caputo Derivatives, Asymptotic Analysis, and the Voronovskaya–Santos–Sales Theorem

Axioms
This work presents a comprehensive mathematical framework for symmetrized neural network operators operating under the paradigm of fractional calculus.
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales, Gislan Silveira Santos   +2 more
doaj   +1 more source