Results 111 to 120 of about 4,892 (236)
Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator [PDF]
, 2021 Dong Zhang +4 more
openalex +1 more source
A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
New Hermite–Hadamard Type Inequalities for
, 2020 Yining Sun, Run Xu
openalex +1 more source
Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj +1 more source
Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
Le Matematiche, 2015 By utilizing two fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Shenda Liu, JinRong Wang
doaj
Journal of Mathematics, 2020 The main objective of this paper is to obtain the fractional integral operator inequalities which provide bounds of the sum of these operators at an arbitrary point. These inequalities are derived for s-exponentially convex functions.
Gang Hong +6 more
doaj +1 more source
On Hermite-Hadamard type inequalities via fractional integral operators
Filomat, 2019 In this paper, we give new definitions related to fractional integral operators for two variables functions using the class of integral operators. We are interested to give the Hermite-Hadamard inequality for a rectangle in plane via convex functions on co-ordinates involving fractional integral operators.
Tunç, Tuba, Sarıkaya, Mehmet Zeki
openaire +4 more sources
Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions [PDF]
, 2023 Waqar Afzal +4 more
openalex +1 more source
Refinements of Hermite-Hadamard Type Inequalities Involving Fractional Integrals
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, JinRong, Li, Xuezhu, Zhu, Chun
openaire +3 more sources
Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
doaj +1 more source