Results 21 to 30 of about 1,437,498 (311)
, 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
semanticscholar +1 more source
Generalized k-fractional conformable integrals and related inequalities
AIMS Mathematics, 2019 In the paper, the authors introduce the generalized k-fractional conformable integrals, which are the k-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional integrals under specific values of the ...
Feng Qi +3 more
doaj +1 more source
Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense
Fractal and Fractional, 2022 In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals.
Abd-Allah Hyder +2 more
doaj +1 more source
AIMS Mathematics, 2022 In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of
Fangfang Ma
doaj +1 more source
On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals
Symmetry, 2020 Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the ...
P. Mohammed, M. Sarıkaya, D. Baleanu
semanticscholar +1 more source
Advances 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
A New Version of the Hermite-Hadamard Inequality for Riemann-Liouville Fractional Integrals
Symmetry, 2020 Integral inequalities play a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods.
P. Mohammed, I. Brevik
semanticscholar +1 more source
Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications
Mathematics, 2019 In this paper, we are concerned with the ψ-fractional integrals, which is a generalization of the well-known Riemann−Liouville fractional integrals and the Hadamard fractional integrals, and are useful in the study of various fractional ...
Jin Liang, Yunyi Mu
doaj +1 more source
New classes of unified fractional integral inequalities
AIMS Mathematics, 2022 Many researchers in recent years have studied fractional integrals and derivatives. Some authors recently introduced generalized fractional integrals, the so-called unified fractional integrals.
Gauhar Rahman +4 more
doaj +1 more source
Journal of Function Spaces, 2020 In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.
Arshad Iqbal, M. Khan, S. Ullah, Y. Chu
semanticscholar +1 more source