Results 81 to 90 of about 6,527 (212)

Some New Classes of Generalized Difference Strongly Summable n-Normed Sequence Spaces Defined by Ideal Convergence and Orlicz Function

Abstract and Applied Analysis, 2014
We study some new generalized difference strongly summable n-normed sequence spaces using ideal convergence and an Orlicz function in connection with de la Vallèe Poussin mean. We give some relations related to these sequence spaces also.
Adem Kılıçman, Stuti Borgohain
doaj   +1 more source

Distortion risk measures: Prudence, coherence, and the expected shortfall

Mathematical Finance, Volume 34, Issue 4, Page 1291-1327, October 2024.
Abstract Distortion risk measures (DRM) are risk measures that are law invariant and comonotonic additive. The present paper is an extensive inquiry into this class of risk measures in light of new ideas such as qualitative robustness, prudence and no reward for concentration, and tail relevance.
Massimiliano Amarante, Felix‐Benedikt Liebrich   +1 more
wiley   +1 more source

On noncommutative distributional Khintchine type inequalities

Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.
Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao, Xingyan Quan, Fedor Sukochev, Dmitriy Zanin   +3 more
wiley   +1 more source

Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions

Cubo, 2012
In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces.
Kuldip Raj, Sunil K Sharma
doaj  

Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function

Advances in Fuzzy Systems, 2011
We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied.
Binod Chandra Tripathy, Stuti Borgohain
doaj   +1 more source

An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system

Journal of the London Mathematical Society, Volume 109, Issue 3, March 2024.
Abstract In a smoothly bounded two‐dimensional domain Ω$\Omega$ and for a given nondecreasing positive unbounded ℓ∈C0([0,∞))$\ell \in C^0([0,\infty))$, for each K>0$K>0$ and η>0$\eta >0$ the inequality ∫Ωφlnφ⩽η∫Ω|∇φ|2φ2+C(K,η)$$\begin{eqnarray*} \hspace*{140pt} \int _\Omega \varphi \ln \varphi \leqslant \eta \int _\Omega \frac{|\nabla \varphi|^2 ...
Yulan Wang, Michael Winkler
wiley   +1 more source

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

Journal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid   +2 more
doaj   +1 more source

Jung constants of Orlicz sequence spaces [PDF]

Annales Polonici Mathematici, 2003
Summary: An estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for \({\mathcal N}\)-functions.
openaire   +2 more sources

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

Abstract 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   +1 more source