Results 1 to 10 of about 448 (88)

Ostrowski-Sugeno fuzzy inequalities [PDF]

Cubo, 2019
We present Ostrowski-Sugeno fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties are investigated.
George A. Anastassiou
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Retraction Note: Fuzzy fractional Ostrowski inequality with Caputo differentiability [PDF]

Journal of Inequalities and Applications, 2013
Abstract Abstract The use of fractional inequalities in mathematical models is increasingly widespread in recent years. In this manuscript, we firstly propose the right Caputo derivative of fuzzy-valued functions about fractional order ν ( 0 < ν
Tofigh Allahviranloo, Lutfi Avazpour, M. J. Ebadi, Dumitru Băleanu, Soheil Salahshour   +4 more
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Fuzzy Ostrowski type inequalities [PDF]

Computational & Applied Mathematics, 2003
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] I R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
George A. Anastassiou
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Uncertain fuzzy Ostrowski type inequalities for the generalized (s,m)-preinvex Godunova-Levin functions of second kind [PDF]

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2017
In the present paper, the notion of the generalized (s, m)- preinvex Godunova-Levin function of second kind is introduced and some uncertain fuzzy Ostrowski type inequalities for the generalized (s, m)-preinvex Godunova-Levin functions of second kind via classical integrals and Riemann-Liouville fractional integrals are established.
Kashuri, Artion, Liko, Rozana
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Two-Point Fuzzy Ostrowski Type Inequalities

International Journal of Analysis and Applications, 2013
Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained.
Muhammad Amer Latif, Sabir Hussain
doaj   +3 more sources

More General Ostrowski-Type Inequalities in the Fuzzy Context

Mathematics
In this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space.
Muhammad Amer Latif
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FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS

Journal of New Theory, 2015
− Let f : I → R, where I ⊆ R is an interval, be a mapping differentiable in the interiorI◦of I, and let a, b ∈ I◦with a < b. If |f0(x)| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f (x) −¯ ¯ b − a Z b a f (t)dt¯≤ M (b − a)¯ ¯ ¯ ¯ "
Erhan Set, Serkan Karataş, İlker Mumcu
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Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

Information Sciences, 2020
It is a difficulty that fuzzy spaces cannot be equipped with a vectorial structure, i.e., it is not possible to use in a direct way tools developed on classical functional analysis. This is also the case in differential and integral calculus theory for fuzzy sets-valued functions.
T.M. Costa, A. Flores-Franulič, Y. Chalco-Cano, I. Aguirre-Cipe   +3 more
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Fuzzy Milne, Ostrowski, and Hermite–Hadamard-Type Inequalities for ħ-Godunova–Levin Convexity and Their Applications

Axioms
In this paper, we establish several Milne-type inequalities for fuzzy number mappings and investigate their relationships with other inequalities. Specifically, we utilize Aumann’s integral and the fuzzy Kulisch–Miranker order, as well as the newly defined class, ħ-Godunova–Levin convex fuzzy number mappings, to derive Ostrowski’s and Hermite–Hadamard ...
Juan Wang, Valer-Daniel Breaz, Yasser Salah Hamed, Luminita-Ioana Cotirla, Xuewu Zuo   +4 more
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Generalized Fuzzy-Valued Convexity with Ostrowski’s, and Hermite-Hadamard Type Inequalities over Inclusion Relations and Their Applications

Axioms
Convex inequalities and fuzzy-valued calculus converge to form a comprehensive mathematical framework that can be employed to understand and analyze a broad spectrum of issues. This paper utilizes fuzzy Aumman’s integrals to establish integral inequalities of Hermite-Hahadard, Fejér, and Pachpatte types within up and down (U·D) relations and over newly
Miguel Vivas Cortez, Ali Althobaiti, Abdulrahman F. Aljohani, Saad Althobaiti   +3 more
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