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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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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Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals [PDF]
, 2017 In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by ...
KUNT, Mehmet, İȘCAN, İmdat
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Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function [PDF]
, 2018 In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas +3 more
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