Results 1 to 10 of about 1,975,121 (294)

Fractional Hermite–Hadamard type inequalities for interval-valued functions [PDF]

open access: yesJournal of Inequalities and Applications, 2019
We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also, some examples are presented.
Xuelong Liu   +3 more
doaj   +5 more sources

Ekeland’s variational principle for interval-valued functions [PDF]

open access: yesComputational and Applied Mathematics, 2021
In this paper, we attempt to propose Ekeland’s variational principle for interval-valued functions (IVFs). To develop the variational principle, we study a concept of sequence of intervals.
Gourav Kumar, Debdas Ghosh
semanticscholar   +4 more sources

On preinvex interval-valued functions and unconstrained interval-valued optimization problems

open access: yesRAIRO - Operations Research, 2023
The main objective of this paper is to investigate the generalized convexity of interval-valued functions under the total order relation and apply it to a class of unconstrained interval-valued optimization problems.
Fangfang Shi   +3 more
semanticscholar   +2 more sources

On Interval-Valued Pseudolinear Functions and Interval-Valued Pseudolinear Optimization Problems [PDF]

open access: yesJournal of Function Spaces, 2015
Some basic characterizations of an interval-valued pseudolinear function are derived. By means of the properties of interval-valued pseudolinearity, a class of interval-valued pseudolinear programs is considered, and the solution set of the interval ...
Jianke Zhang   +4 more
doaj   +3 more sources

New Hermite–Hadamard-type inequalities for -convex fuzzy-interval-valued functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued functions, which are called -convex fuzzy-interval-valued functions, by means of fuzzy order relation.
Muhammad Bilal Khan   +3 more
doaj   +2 more sources

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana   +4 more
doaj   +2 more sources

Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.
Hasan Kara   +4 more
doaj   +2 more sources

Some New Hermite-Hadamard-Fejér Fractional Type Inequalities for h-Convex and Harmonically h-Convex Interval-Valued Functions

open access: yesMathematics, 2021
In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙).
Humaira Kalsoom   +3 more
doaj   +2 more sources

Fractional Ostrowski type inequalities for interval valued functions

open access: yesFilomat, 2022
In this paper, we establish some generalization of Ostrowski type inequalities for interval valued functions by using the definitions of the 1H-derivatives. At the end, a briefly conclusion is given as well.
H. Budak, A. Kashuri, S. Butt
semanticscholar   +4 more sources

Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that convexity and nonconvexity develop a strong relationship with different types of integral inequalities. Due to the importance of the concept of nonconvexity and integral inequality, in this paper, we present some new classes of ...
Muhammad Bilal Khan   +3 more
doaj   +2 more sources

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