Results 71 to 80 of about 1,352,109 (152)

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Journal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
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Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
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Generalization of hadamard-type trapezoid inequalities for fractional integral operators

, 2021
The role of convexity theory in applied problems, especially in optimization problems, is well known. The integral Hermite-Hadamard inequality has a special place in this theory since it provides an upper bound for the mean value of a function.
Bayraktar, Bahtiyar, Özdemir, Muhamet Emin   +1 more
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Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences
This paper develops a family of Hermite–Hadamard–Mercer-type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order ...
Jen Chieh Lo
doaj   +1 more source

On some integral inequalities using Hadamard fractional integral

, 2020
In this paper, using Hadamard fractional integral, we establish two main new result on fractional integral inequalities by considering the extended Chebyshev functional in case of synchronous function.
Deepak B Pachpatte, Vaijanath L Chinchane   +1 more
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On Hermite-Hadamard Type Inequalities Via Fractional Integral Operators [PDF]

, 2019
WOS: 000496191500014In this paper, we give new definitions related to fractional integral operators for two variables functions using the class of integral operators.
Sarıkaya, Mehmet Zeki, Tunç, Tuba
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Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

Boundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir   +3 more
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Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals

International Journal of Mathematics and Mathematical Sciences, 2014
By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Zhi Zhang, JinRong Wang, JianHua Deng
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Refined Hermite-Hadamard Type Inequalities via the Extended Atangana-Baleanu Fractional Integral

In this study, we obtain new Hermite-Hadamard type inequalities involving an extended form of the Atangana-Baleanu fractional integral operator having Mittag-Leffler kernels.
Alqahtani, Rubayyi T., Sarikaya, Mehmet Zeki, Alharthi, Nadiyah Hussain   +2 more
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A new approach for the fractional integral operator in time scales with variable exponent lebesgue spaces

, 2021
Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis.
Akın, Lütfi
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