Results 41 to 50 of about 8,683 (257)
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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A New Ostrowski’s Type Inequality for Quadratic Kernel
International Journal of Analysis and Applications, 2022 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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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
Journal of Inequalities and Applications, 2009 We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations. The kernels of
Horváth László
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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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Differential and integral inequalities [PDF]
Proceedings of the American Mathematical Society, 1964 RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
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Some generalized Riemann-Liouville k-fractional integral inequalities
Journal of Inequalities and Applications, 2016 The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal +2 more
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AIMS Mathematics, 2020 This paper proposes novel single and double integral inequalities with arbitrary approximation order by employing shifted Legendre polynomials and Cholesky decomposition, and these inequalities could significantly reduce the conservativeness in stability
Deren Gong +4 more
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On Bellman-Bihari integral inequalities
International Journal of Mathematics and Mathematical Sciences, 1982 Integral inequalities of the Bellman-Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
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New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals
AIMS Mathematics, 2020 Recently, several papers related to integral inequalities involving various fractional integral operators have been presented. In this work, motivated essentially by the previous works, we prove some new Polya-Szegö inequalities via conformable ...
Erhan Deniz +2 more
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Arthritis Care &Research, EarlyView.Objective This study aimed to improve contraception and reproductive planning documentation within rheumatology providers’ notes at a single academic center. Methods Female patients aged 18 to 45 years with autoimmune inflammatory rheumatic diseases were identified, and chart review was performed for documentation of contraception and pregnancy ...
Benjamin Moon +6 more
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