scholarly journals Inequalities in Triangular Norm-Based ∗-fuzzy ( L + ) p Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1984
Author(s):  
Abbas Ghaffari ◽  
Reza Saadati ◽  
Radko Mesiar
Keyword(s):  
Normed Space ◽  
Hölder’S Inequality ◽  
Fuzzy Measure ◽  
Triangular Norm ◽  
Fuzzy Normed Space ◽  
Hölder's Inequality ◽  
Chebyshev’S Inequality ◽  
Measure Spaces ◽  
Chebyshev's Inequality

In this article, we introduce the ∗-fuzzy (L+)p spaces for 1≤p<∞ on triangular norm-based ∗-fuzzy measure spaces and show that they are complete ∗-fuzzy normed space and investigate some properties in these space. Next, we prove Chebyshev’s inequality and Hölder’s inequality in ∗-fuzzy (L+)p spaces.

scholarly journals Hilbert-type inequalities for time scale nabla calculus

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
H. M. Rezk ◽  
Ghada AlNemer ◽  
H. A. Abd El-Hamid ◽  
Abdel-Haleem Abdel-Aty ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Time Scale ◽  
Hölder’S Inequality ◽  
Hölder's Inequality ◽  
Arbitrary Time ◽  
Hilbert Type

Abstract This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Hölder’s inequality, and Jensen’s time scale inequality. This generalization allows us not only to unify all the related results that exist in the literature on an arbitrary time scale, but also to obtain new outcomes that are analytical to the results of the delta time scale calculation.

Chebyshev’s Inequality-Based Multisensor Data Fusion in Self-Organizing Sensor Networks

2016 ◽  
pp. 553-567
Author(s):  
Mengxia Zhu ◽  
Richard R. Brooks ◽  
Song Ding ◽  
Qishi Wu ◽  
Nageswara S.V. Rao ◽  
...  
Keyword(s):  
Sensor Networks ◽  
Data Fusion ◽  
Chebyshev’S Inequality ◽  
Multisensor Data Fusion ◽  
Chebyshev's Inequality ◽  
Multisensor Data ◽  
Self Organizing

scholarly journals New Fuzzy Normed Spaces

2012 ◽  
Vol 9 (3) ◽  
pp. 559-564 ◽  
Author(s):  
Baghdad Science Journal
Keyword(s):  
Normed Space ◽  
Cauchy Sequence ◽  
Normed Spaces ◽  
Fuzzy Normed Space ◽  
Continuous Convergence ◽  
Definition Of

In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.

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