New midpoint and trapezoidal-type inequalities for prequasiinvex functions via generalized fractional integrals [PDF]
, 2022 In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
NWAEZE, Eze R., KERMAUSUOR, Seth
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Fractional Hadamard and Fej´er-Hadamard inequalities for exponentially m-convex function [PDF]
, 2021 Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej´er-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler
MEHMOOD, Sajid, FARID, Ghulam
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Coincidence theorems and minimax inequalities in abstract convex spaces [PDF]
, 2011 In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Mohsen Rostamian Delavar +5 more
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Different type parameterized inequalities via generalized integral operators with applications [PDF]
, 2021 The authors have proved an identity for a generalized integral operator via differentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It
LIKO, Rozana, KASHURI, Artion
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A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions [PDF]
, 2023 In this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions.
Sitthiwirattham, Thanin +4 more
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On Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals [PDF]
, 2017 In this paper we prove the Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals and the Hadamard-type in- equalities for convex functions via Riemann-Liouville fractional integral are deduced.
FARID, Ghulam +2 more
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Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals [PDF]
, 2018 In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
KATUGAMPOLA, Udita N. +2 more
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Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals [PDF]
, 2019 In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly (α, m)- convex with modulus µ ≥ 0 via the k-Riemann-Liouville fractional integrals.
KERMAUSUOR, Seth
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Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions [PDF]
, 2021 We consider positivity of sum $\sum_{i=1}^np_if(x_i)$ involving convex functions of higher order. Analogous for integral $\int_a^bp(x)f(g(x))dx$ is also given.
KHAN, Asif R., PEˇČARI´Ć, Josip
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New integral inequalities of Hermite–Hadamard type in a generalized context [PDF]
, 2021 In this paper, we obtained new integral inequalities of theHermite–Hadamard type for convex and quasi–convex functions in a generalizedcontext.AMS (MOS) Subject Classification Codes:26D10, 26A51, 39B62, 26A33Key Words: Hermite–Hadamard ...
Juan Eduardo Napoles Valdes; UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400 +2 more
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