Results 21 to 30 of about 48,981 (245)

Generalized Hukuhara Weak Solutions for a Class of Coupled Systems of Fuzzy Fractional Order Partial Differential Equations without Lipschitz Conditions

Mathematics, 2022
As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, Heng-You Lan, Hai-Yang Xu
doaj   +1 more source

Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions

Journal of Function Spaces, 2018
We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous, and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically nonlinear operators.
Aljoša Peperko
doaj   +1 more source

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Journal of Advanced Research in Natural and Applied Sciences
The study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
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WEIGHTED INTEGRABILITY RESULTS FOR FIRST HANKEL-CLIFFORD TRANSFORM

Проблемы анализа, 2023
We obtain sufficient conditions for the weighted integrability of the first Hankel-Clifford transforms of functions from generalized integral Lipschitz classes.
S. S. Volosivets
doaj  

Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators

Journal of Applied Mathematics, 2013
We introduce the generalized double Szász-Mirakjan operators in this paper. We obtain several quantitative estimates for these operators. These estimates help us to determine some function classes (including some Lipschitz-type spaces) which provide ...
Mehmet Ali Özarslan, Hüseyin Aktuğlu
doaj   +1 more source

An exact constant on the estimation of the approximation of classes of periodic functions of two variables by Ceśaro means

Математичні Студії, 2022
In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this function ...
O. G. Rovenska
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Moduli of Continuity for Exponential Lipschitz Classes [PDF]

Transactions of the American Mathematical Society, 1977
Let Ψ \Psi be a convex function, and let f be a real-valued function on [0, 1]. Let a modulus of continuity associated to Ψ \Psi be given as \[ Q Ψ ( δ , f ) = inf { λ :
openaire   +1 more source

Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series

Journal of Function Spaces and Applications, 2012
We show the results, corresponding to theorem of Lal (2009), on the rate of pointwise approximation of functions from the pointwise integral Lipschitz classes by matrix summability means of their Fourier series as well as the theorems on norm ...
Włodzimierz Łenski, Bogdan Szal
doaj   +1 more source

Approximations of an Equilibrium Problem without Prior Knowledge of Lipschitz Constants in Hilbert Spaces with Applications

Axioms, 2021
The objective of this paper is to introduce an iterative method with the addition of an inertial term to solve equilibrium problems in a real Hilbert space.
Chainarong Khanpanuk, Nuttapol Pakkaranang, Nopparat Wairojjana, Nattawut Pholasa   +3 more
doaj   +1 more source

Lipschitz classes and the Hardy-Littlewood property

Monatshefte für Mathematik, 1993
A proper subdomain \(D\) of \(\mathbb{C}\) has the Hardy-Littlewood property if there is a constant \(k\) such that for any \(\beta\in(0,1]\) and any \(f\) analytic in \(D\) with \(| f'(z)|\leq m d(z,D)^{\beta-1}\) in \(D\) we have the Hölder condition (*) \(| f(z_ 1)-f(z_ 2)|\leq M| z_ 1-z_ 2|^ \beta\) in \(D\) with \(M=km/\beta\). If \(D\) satisfies (
Hag, K., Astala, K., Hag, P., Lappalainen, V.   +3 more
openaire   +2 more sources