Results 101 to 110 of about 1,954,320 (272)
Refinement of an integral inequality [PDF]
Journal of Inequalities and Applications, 2012 In this study, we generalize and sharpen an integral inequality raised in theory for convex and star-shaped sets and relax the conditions on the integrand.
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ON SOME INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS [PDF]
Journal of the Korean Mathematical Society, 2006 The main aim of the present paper is to establish some new Gronwall type inequalities involving iterated integrals and give some applications of the main results.
Dragomir, Sever S +2 more
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On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
Asian Research Journal of Mathematics, 2019 In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions.
M. Ali +4 more
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MachinesThis paper addresses the problem of extended dissipativity analysis for uncertain neutral-type semi-Markovian jump systems. Two novel parameter-dependent, free-matrix-based integral inequalities are proposed by introducing some adjustable parameters ...
Zihao Gao, Huaguang Zhang
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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Advances in Difference Equations, 2020 The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar +4 more
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NOTES ON INTEGRAL INEQUALITIES
Demonstratio Mathematica, 2008 AbstractNew results, generalizations and improvements concerning several integral inequalities are obtained.
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IEEE Access, 2016 This paper is concerned with the exponential stability analysis for time-delay systems. First, two new weighted integral inequalities are presented based on the auxiliary function-based integral inequalities.
Cheng Gong, Guopu Zhu, Ligang Wu
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Mean Value Integral Inequalities [PDF]
Real Analysis Exchange, 2012 Let $F:[a,b]\longrightarrow \R$ have zero derivative in a dense subset of $[a,b]$. What else we need to conclude that $F$ is constant in $[a,b]$? We prove a result in this direction using some new Mean Value Theorems for integrals which are the real core of this paper. These Mean Value Theorems are proven easily and concisely using Lebesgue integration,
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On Hilbert's Integral Inequality
Journal of Mathematical Analysis and Applications, 1998 AbstractIn this paper, we generalize Hilbert's integral inequality and its equivalent form by introducing three parameterst,a, andb.Iff,g∈L2[0,∞), then[formula]where π is the best value. The inequality (1) is well known as Hilbert's integral inequality, and its equivalent form is[formula]where π2is also the best value (cf. [1, Chap. 9]).
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