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A generalization of Minkowski’s inequality by Hahn integral operator
Journal of Taibah University for Science, 2018 In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan +4 more
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Refinements of Generalized Hölder’s Inequalities
Journal of Applied Mathematics, 2014 We present some new versions of generalized Hölder’s inequalities. The results are used to improve Minkowski’s inequality and a Beckenbach-type inequality.
Jingfeng Tian +2 more
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On The Reverse Minkowski’s Integral Inequality
Kragujevac Journal of Mathematics, 2022 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.
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Weighted Minkowski's Existence Theorem and Projection Bodies [PDF]
, 2023 The Brunn-Minkowski Theory has seen several generalizations over the past century. Many of the core ideas have been generalized to measures. With the goal of framing these generalizations as a weighted Brunn-Minkowski theory, we prove the Minkowski ...
Langharst, Dylan, Kryvonos, Liudmyla
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Minkowski’s inequality for the AB-fractional integral operator
Journal of Inequalities and Applications, 2019 Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan +4 more
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Modifying Minkowski's theorem [PDF]
, 1988 At the turn of the century, Minkowski published his famous “convex body” theorem which became the basis for the geometry of numbers. Suppose that Λ is a lattice in Euclidean n-space, En, having determinant d(Λ).
Scott, Paul R
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Diamond-α Jensen's Inequality on Time Scales
Journal of Inequalities and Applications, 2008 The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres +2 more
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The Orlicz Brunn–Minkowski inequality
Advances in Mathematics, 2014 The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang and Zhang, being an extension of the classical Brunn-Minkowski theory. It represents a generalization of the \(L_p\)-Brunn-Minkowski theory. For a convex, strictly increasing \(\phi:[0,\infty]\longrightarrow [0,\infty)\), with \(\phi(0)=0\) and \(K,L\) convex and compact sets containing ...
Xi, Dongmeng +2 more
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Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales
International Journal of Analysis and Applications, 2020 We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi +2 more
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The log-Brunn–Minkowski inequality
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.) +3 more
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