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Alternative reverse inequalities for Young's inequality [PDF]
Journal of Mathematical Inequalities, 2011 Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.Comment: The constant in the right hand side ...
Furuichi, Shigeru, Minculete, Nicuşor
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An Extension of Young's Inequality [PDF]
Abstract and Applied Analysis, 2011 Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.
Flavia-Corina Mitroi +1 more
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Universal Journal of Mathematics and Applications, 2021 In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]
HeliyonConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
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Young's integral inequality with upper and lower bounds [PDF]
, 2010 Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new ...
Anderson, Douglas R. +2 more
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A NEW REFINEMENT OF YOUNG'S INEQUALITY [PDF]
Proceedings of the Edinburgh Mathematical Society, 2007 AbstractA classical theorem due to Young states that the cosine polynomial$$ C_n(x)=1+\sum_{k=1}^{n}\frac{\cos(kx)}{k} $$is positive for all $n\geq1$ and $x\in(0,\pi)$. We prove the following refinement. For all $n\geq2$ and $x\in[0,\pi]$ we have$$ \tfrac{1}{6}+c(\pi-x)^2\leq C_n(x), $$with the best possible constant factor$$ c=\min_{0\leq t\lt\pi ...
Horst Alzer, Stamatis Koumandos
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On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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A Multilinear Young's Inequality [PDF]
Canadian Mathematical Bulletin, 1988 AbstractWe prove an (n + l)-linear inequality which generalizes the classical bilinear inequality of Young concerning the LP norm of the convolution of two functions.
Daniel M. Oberlin
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New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
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An equivalent form of Young's inequality with upper bound
, 2008 Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
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