On The Reverse Minkowski’s Integral Inequality
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Authors: B. BENAISSA
DOI: 10.46793/KgJMat2203.407B
Abstract:
The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p < 0, respectively.
Keywords:
Hölder’s inequality, Minkowski’s integral inequality.
References:
[1] V. I. Burenkov, Functional Spaces. Basic Integral Inequalities Connected with Lp-Spaces, Peoples’ Friendship University of Russia, Moscow, 1989, 5–12.
[2] S. Marinković, P. Rajković and M. Stanković, The inequalities for some types q-integrals, Comput. Math. Appl. 56 (2008), 2490–2498.
[3] B. G. Pachpatte, Mathematical Inequalities, North Holland Mathematical Library 67, Oxford, 2005.
[4] B. Yang, On a new Hardy-type integral inequality, International Mathematical Forum 67(2) (2007), 3317–3322.
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Kragujevac Journal of Mathematics Vol. 48 No.5 (2024)
