Results 1 to 10 of about 330 (86)
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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More General Ostrowski-Type Inequalities in the Fuzzy Context
MathematicsIn 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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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
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AxiomsThis paper demonstrates several of Ostrowski-type inequalities for fuzzy number functions and investigates their connections with other inequalities. Specifically, employing the Aumann integral and the Kulisch–Miranker order, as well as the inclusion ...
Azzh Saad Alshehry +3 more
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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 +3 more
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Ostrowski-Sugeno fuzzy inequalities
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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AxiomsIn 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 ...
Juan Wang +4 more
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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS One, 2023 Guo J, Zhu X, Li W, Li H.
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