Results 71 to 80 of about 265 (178)

A Note on Noneffective Weights in Variable Lebesgue Spaces

Journal of Function Spaces and Applications, 2012
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show that Lp(⋅)(Ω)=Lωp(⋅)(Ω) if and only if ω(x)1/p(x)~constant in the set where p(⋅)
Alberto Fiorenza, Miroslav Krbec
doaj   +1 more source

Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II

Mathematics, 2020
In this paper, we introduce and analyze several different notions of almost periodic type functions and uniformly recurrent type functions in Lebesgue spaces with variable exponent L p ( x ) .
Marko Kostić, Wei-Shih Du
doaj   +1 more source

Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies

International Economic Review, Volume 67, Issue 3, Page 957-976, August 2026.
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi, Junpei Komiyama, Shunya Noda   +2 more
wiley   +1 more source

An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight [PDF]

AUT Journal of Mathematics and Computing
This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition.
Mehdi Latifi, Mohsen Alimohammady
doaj   +1 more source

Matrix transforms in weighted variable exponent Lebesgue spaces

, 2022
Summary: In this work, approximation properties of matrix transforms in the weighted variable exponent Lebesgue space of periodic functions are investigated.
Testici, Ahmet, Israfilov, Daniyal M.
openaire   +3 more sources

Finiteness of the Hölder–Brascamp–Lieb constant revisited

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract Abstract Hölder–Brascamp–Lieb inequalities have become a ubiquitous tool in Fourier analysis in recent years, due in large part to a theorem of Bennett et al. characterizing finiteness of the Hölder–Brascamp–Lieb constant. Here we provide a new characterization of a substantially different nature involving directed graphs of subspaces.
Philip T. Gressman
wiley   +1 more source

Simultaneous approximation in lebesgue space with variable exponent

, 2018
In this paper we deal with the simultaneous approximations by trigonometric polynomials of 27 periodic functions in the variable exponent Lebesgue spaces. In terms of the higher moduli of smoothness the direct and inverse theorems of simultaneous approximation are proved. Moreover, the generalized variable exponent Lipschitz classes are defined and the
Israfilov, Daniyal M., Testici, Ahmet
openaire   +3 more sources

Self‐improving property for certain degenerate functionals with generalized Orlicz growth

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
wiley   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Boundedness of Integral Operator of Generalized Bessel–Riesz Kernel in Variable Exponent Function Spaces

Mathematics
In this manuscript, we introduce a class of measurable functions A(R+), which is utilized to construct a generalized Bessel–Riesz kernel and the corresponding generalized Bessel–Riesz operator.
Ali Raza, Fehaid Salem Alshammari, Muhammad Nasir   +2 more
doaj   +1 more source