Results 11 to 20 of about 1,287 (117)

New Difference Sequence Spaces Defined by Musielak-Orlicz Function [PDF]

open access: yesAbstract and Applied Analysis, 2014
We introduce new sequence spaces by using Musielak-Orlicz function and a generalized B∧ μ-difference operator on n-normed space. Some topological properties and inclusion relations are also examined.
M. Mursaleen   +3 more
doaj   +4 more sources

A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β

open access: yesJournal of Function Spaces, 2022
In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik.
Qing-Bo Cai   +2 more
doaj   +2 more sources

Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2013
In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.
M. Mursaleen   +2 more
doaj   +3 more sources

Lacunary sequence spaces defined by Musielak-Orlicz function

open access: yesLe Matematiche, 2013
In this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces.
Kuldip Raj, Sunil K. Sharma
doaj   +2 more sources

Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function [PDF]

open access: yesAbstract and Applied Analysis, 2013
In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery   +2 more
doaj   +3 more sources

A Class of Sequences Defined by Weak Ideal Convergence and Musielak-Orlicz Function [PDF]

open access: yesAbstract and Applied Analysis, 2014
We introduced the weak ideal convergence of new sequence spaces combining an infinite matrix of complex numbers and Musielak-Orlicz function over normed spaces. We also study some topological properties and inclusion relation between these spaces.
Awad A. Bakery
doaj   +3 more sources

Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm

open access: yesJournal of Harbin University of Science and Technology
The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms.
XU Anqi, CUI Yunan
doaj   +2 more sources

Density of smooth functions in Musielak–Orlicz spaces

open access: yesBanach Journal of Mathematical Analysis, 2022
We provide necessary and sufficient conditions for the space of smooth functions with compact supports $C^\infty_C( )$ to be dense in Musielak-Orlicz spaces $L^ ( )$ where $ $ is an open subset of $\mathbb{R}^d$. In particular we prove that if $ $ satisfies condition $ _2$, the closure of $C^\infty_C( )\cap L^ ( )$ is equal to $L^ ( )$ if ...
Kamińska, Anna, Żyluk, Mariusz
openaire   +3 more sources

Well‐Posedness in Variable‐Exponent Function Spaces for the Three‐Dimensional Micropolar Fluid Equations

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, we work on the Cauchy problem of the three‐dimensional micropolar fluid equations. For small initial data, in the variable‐exponent Fourier–Besov spaces, we achieve the global well‐posedness result. The Littlewood–Paley decomposition method and the Fourier‐localization technique are main tools to obtain the results. Moreover, the results
Muhammad Zainul Abidin   +4 more
wiley   +1 more source

Properties of Weak Solutions for a Pseudoparabolic Equation with Logarithmic Nonlinearity of Variable Exponents

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow‐up results of weak solutions with variable exponents.
Rongting Pan   +3 more
wiley   +1 more source

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