Results 1 to 10 of about 191 (156)
Ostrowski type inequalities involving conformable fractional integrals [PDF]
Journal 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 +3 more
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Hermite–Hadamard type inequalities for conformable fractional integrals
Revista 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
Opial-type inequalities for conformable fractional integrals
Journal 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
On multiplicative conformable fractional integrals: theory and applications
Boundary Value ProblemsIn 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
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Inequalities for α-fractional differentiable functions [PDF]
Journal of Inequalities and Applications, 2017 In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error ...
Yu-Ming Chu +3 more
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations [PDF]
Journal 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
Universal Journal of Mathematics and ApplicationsThis 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
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Steffensen's integral inequality for conformable fractional integrals
International 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]
Applied 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
Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
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