Results 11 to 20 of about 23,806 (313)
An equivalent property of a Hilbert-type integral inequality and its applications [PDF]
, 2022 Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters.
Andrica, D. +7 more
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Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]
, 2007 An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation ...
S. S. Dragomir +4 more
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Mathematical Inequalities & Applications, 2001 Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
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IEEE Access, 2020 This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
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Nonoscillation and integral inequalities [PDF]
Bulletin of the American Mathematical Society, 1974 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 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.
Adil Khan, M., Pečarić, Josip
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Computer Assisted Methods in Engineering and Science, 2017 Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
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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.
Deo, S. G., Murdeshwar, M. G.
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On an Integral Inequality [PDF]
Journal of inequalities in pure and applied mathematics, 2004 In this article we give different sufficient conditions for the inequality $(\int_a^b f(x)^{; ; ; \alpha}; ; ; dx)^{; ; ; \beta}; ; ; \geq \int_a^b f(x)^{; ; ; \gamma}; ; ; dx$ to hold.
Pečarić, Josip, Pejković, Tomislav
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