Results 11 to 20 of about 4,163,698 (180)

I-convergence in probabilistic n-normed space [PDF]

open access: yesSoft Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binod Chandra Tripathy   +2 more
core   +8 more sources

Menger probabilistic normed space is a category topological vector space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators.
Ildar Sadeqi, Farnaz Yaqub Azari
doaj   +1 more source

Best approximation in quotient probabilistic normed space

open access: yesJournal of Applied Analysis, 2017
In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient ...
Soumitra Nath   +2 more
core   +2 more sources

Statistical continuity in probabilistic normed spaces

open access: yesApplicable Analysis, 2008
In this study, we investigate the statistical continuity in a probabilistic normed space. In this context, the statistical continuity properties of the probabilistic norm, the vector addition and the scalar multiplication are examined.
PEHLİVAN, Serpil   +1 more
openaire   +6 more sources

Linear operators in finite dimensional probabilistic normed spaces [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2008
In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces.
Saadati, Reza, Vaezpour, S. Mansour
core   +3 more sources

On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]

open access: yes, 2009
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
core   +6 more sources

Hermite-Hadamard's Inequality and the p-HH-Norm on the Cartesian Product of Two Copies of a Normed Space [PDF]

open access: yes, 2008
The Cartesian product of two copies of a normed space is naturally equipped with the well-known p-norm. In this paper, another notion of norm is introduced, and will be called the p-HH-norm. This norm is an extension of the generalised logarithmic mean
Dragomir, Sever S, Kikianty, Eder
core   +6 more sources

Inequalities for the Numerical Radius in Unital Normed Algebras [PDF]

open access: yes, 2008
In this paper, some inequalities between the numerical radius of an element from a unital normed algebra and certain semi-inner products involving that element and the unity are ...
Dragomir, Sever S
core   +6 more sources

Two Mappings Related To Semi-Inner Products And Their Applications in Geometry of Normed Linear Spaces [PDF]

open access: yes, 1998
In this paper we introduce two mappings associated with the lower and upper semiinner product (.,.)i and (.,.)s and with semi-inner products [.,.] (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of ...
Koliha, Jerry J, Dragomir, Sever S
core   +6 more sources

Some Remarks on Fuzzy N-Normed Spaces [PDF]

open access: yes, 2009
It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is ...
Elagan, S.
core   +1 more source

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