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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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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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A refinement of Young’s inequality [PDF]
Acta Mathematica Hungarica, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Kórus
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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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On generalized Young’s Inequality [PDF]
Banach Center Publications, 2019 We generalize Young’s inequality to Orlicz functions. The Young’s inequality is widely used not only in Mathematics but also in Mechanics and Risk Management.
Zhongrui Shi, Siyu Shi
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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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Journal of Mathematical Analysis and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horst Alzer, Man Kam Kwong
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Sharpness in Young’s inequality for convolution [PDF]
Pacific Journal of Mathematics, 1977 Summary: Let \(p\) and \(q\) be indices in the open interval \((1,\infty)\) such that \(pq < p+q\); let \(r = pq/(p+q-pq)\). It is shown here that there is a constant \(C_{p,q} < 1\) such that, if \(G\) is a locally compact, unimodular group with no compact open subgroups, and if \(g\) and \(f\) are functions in \(L^p(G)\) and \(L^q(G)\) respectively ...
J. Fournier
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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An equivalent form of Young's inequality with upper bound [PDF]
, 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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