Results 31 to 40 of about 4,892 (236)

On some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via generalized fractional integrals

open access: yesAdvances in Difference Equations, 2020
In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Hermite-Hadamard-Mercer type inequalities for fractional integrals

open access: yesFilomat, 2021
In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
Öğülmüş, Hatice   +1 more
openaire   +2 more sources

Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]

open access: yesKragujevac Journal of Mathematics, 2021
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem.
Karthikeyan, P., Arul, R.
openaire   +2 more sources

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

open access: yesDemonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

open access: yesJournal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You   +4 more
doaj   +1 more source

Unified treatment of fractional integral inequalities via linear functionals [PDF]

open access: yes, 2016
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea   +2 more
core   +2 more sources

Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

open access: yesFractal and Fractional, 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid   +2 more
doaj   +1 more source

New general Grüss-type inequalities over σ-finite measure space with applications

open access: yesAdvances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal   +5 more
doaj   +1 more source

New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals [PDF]

open access: yes, 2013
In this paper, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type ...
Iscan, Imdat
core   +2 more sources

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals [PDF]

open access: yes, 2016
YILDIRIM, Huseyin/0000-0001-8855-9260WOS: 000396217100029In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity.
Sarikaya, Mehmet Zeki   +1 more
core   +1 more source

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