Results 1 to 10 of about 145 (108)

Ostrowski type inequalities involving conformable fractional integrals [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
Muhammad Adil Khan   +2 more
exaly   +5 more sources

Hermite–Hadamard type inequalities for conformable fractional integrals

open access: yesRevista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Zeki Sarikaya   +2 more
exaly   +3 more sources

On multiplicative conformable fractional integrals: theory and applications

open access: yesBoundary Value Problems
In this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
doaj   +4 more sources

Opial-type inequalities for conformable fractional integrals

open access: yesJournal of Applied Analysis, 2019
Abstract In this paper, we establish the Opial-type inequalities for a conformable fractional integral and give some results in special cases of α. The results presented here would provide generalizations of those given in earlier works.
Huseyin Budak, Mehmet Zeki Sarikaya
exaly   +4 more sources

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.
Matloob Anwar, Naila Mehreen
exaly   +3 more sources

Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals

open access: yesBoundary Value Problems
In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of ...
Huseyin Budak   +2 more
exaly   +2 more sources

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations [PDF]

open access: yesJournal of Function Spaces, 2018
We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan   +4 more
doaj   +3 more sources

Milne's Estimates via Conformable Fractional Multiplicative Integrals

open access: yesUniversal Journal of Mathematics and Applications
This paper explores Milne’s inequality in the context of multiplicative conformable fractional integrals, a recent extension of classical fractional calculus rooted in non-Newtonian analysis.
Abdelghani Lakhdari   +3 more
doaj   +3 more sources

Steffensen's integral inequality for conformable fractional integrals

open access: yesInternational Journal of Analysis and Applications, 2017
The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarikaya   +2 more
doaj   +4 more sources

On Some Integral Inequalities via Conformable Fractional Integrals [PDF]

open access: yesApplied Mathematics and Nonlinear Sciences, 2020
Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak   +6 more
openaire   +4 more sources

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