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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]
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.
Adil Khan, M., Pečarić, Josip
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In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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Fractional Integral Inequalities via Hadamard’s Fractional Integral
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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Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]
Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
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Some New Iyengar Type Inequalities [PDF]
Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral ...
Qi, Feng +2 more
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Nonoscillation and integral inequalities [PDF]
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
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On Some New Impulsive Integral Inequalities
We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the theory of some classes of impulsive ...
Jianli Li
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A New Ostrowski’s Type Inequality for Quadratic Kernel
From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem +4 more
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Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Hölder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Hölder continuous ...
Cheung, Wing Sum, Dragomir, Sever S
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