ORLICZ spacesCONVEX functionsTOPOLOGYIn the dual L Φ of a Δ 2 -Orlicz space L Φ , that we call a dual Orlicz space, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continu
Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functionsSturmK.-T.ingentaconnectBulletin Des Sciences MathematiquesK.-T. Sturm. Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions. Bulletin des sciences math´ematiques, 135(6):795-802,...
Lower semicontinuity of certain quasiconvex functionals in Orlicz–Sobolev spaces49J4549J10Let u : Ω R n → R N be any vector valued function. We prove a semicontinuity result in the weak* topology of Orlicz–Sobolev spaces of the functional F ( u , Ω ) = ∫Ω f ( D u ( x ) ...
s-CONVEX FUNCTIONS IN THE THIRD SENSE 2021, Korean Journal of Mathematics Some fixed point theorems for s-convex subsets in p-normed spaces based on measures of noncompactness 2018, Journal of Fixed Point Theory and Applications On some hermite-hadamard-fej ́er inequalities for (k,h)-convex...
RUTICKII: Convex functions and Orlicz spaces. Groningen, Netherlands (1961), translated from Russian. Google Scholar K.J. LINDBERG: On subspaces of Orlicz sequence spaces. Studia Mathematica 45 (1973), 119–146. MathSciNet MATH Google Scholar J. LINDENSTRAUSS, L. TZAFRIRI: Classical Banach...
B. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958). Google Scholar M. G. Krein, “Basic properties of normal conical sections in Banach spaces,” Dokl. Akad. Nauk SSSR,28, No. 1, 13–17 (1940). Google Scholar M. G. Krein, “On minimal ...
OrliczspacesconvexsetsBANACH-SPACESIf X is a Banach space and C subset of X** a convex subset, for x** is an element of X** and A subset of X** let d(x**, C) = inf{parallel to x** - x parallel to: x is an element of C) be the distance from x** to C and d(A, ...
orlicz sequence spaceThe aim of this paper is to introduce and study a new class (l ∞ (X , Y , Φ, ξ, w , L ), H U ) of locally convex space Y- valued functions using Orlicz function Φ as a generalization of some of the well known sequence spaces and function spaces. ...
On some dicardinal functions in ditopological texture spaces Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space Inequalities of harmonic univalent functions with connections of hypergeometric functions Module Connes amenability of hypergroup me...
The semi Orlicz space of [chi] of analytic Altin and M.Et, Generalized difference sequence spaces defined by a modulus function in a locally convex space, Soochow J.Math., 31 (2) (2005), 233-243. Generalized Difference sequence spaces defined by Orlicz functions * The existence of such a...