Results 41 to 50 of about 1,954,320 (272)
On new fractional integral inequalities for p-convexity within interval-valued functions
Advances in Differential Equations, 2020 This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard ...
T. Abdeljawad +3 more
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Fractal and Fractional, 2022 In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao +5 more
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On Slater's Integral Inequality [PDF]
Journal of Mathematical Inequalities, 2011 In this paper we give a generalization of results given by Pecari´ ˇ c and Adil (2010). We use a log -convexity criterion and establish improvements and reverses of Slater’s and related inequalities.
M. Adil Khan, Josip Pečarić
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Fractional Hermite-Hadamard Integral Inequalities for a New Class of Convex Functions
Symmetry, 2020 Fractional integral inequality plays a significant role in pure and applied mathematics fields. It aims to develop and extend various mathematical methods.
P. Mohammed +3 more
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Hypoelliptic functional inequalities [PDF]
, 2018 In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael +1 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad +2 more
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Dynamical significance of generalized fractional integral inequalities via convexity
AIMS Mathematics, 2021 The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali +7 more
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An integral inequality with applications [PDF]
Transactions of the American Mathematical Society, 1984 Using a technical integral inequality, J. Moser proved a sharp result on exponential integrability of a certain space of Sobolev functions. In this paper, we show that the integral inequality holds in a general setting using nonincreasing functions and a certain class of convex functions. We then apply the integral inequality to extend the above result
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On a system of integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1970 The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
S. G. Deo, M. G. Murdeshwar
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Conformable fractional integral inequalities for GG- and GA-convex functions
AIMS Mathematics, 2020 In the article, we present several new Hermite-Hadamard type inequalities for GG- and GA-convex functions via the conformable fractional integrals. Our results are the generalizations of some previously known results.
Yousaf Khurshid, M. Khan, Y. Chu
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