Minkowski’s inequality for two variable difference means

László Losonczi; Zsolt Páles

doi:10.1090/s0002-9939-98-04125-2

Minkowski’s inequality for two variable difference means

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-98-04125-2 ◽

1998 ◽

Vol 126 (3) ◽

pp. 779-789 ◽

Cited By ~ 9

Author(s):

László Losonczi ◽

Zsolt Páles

Keyword(s):

Minkowski’S Inequality

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Convexity and Minkowski's Inequality

American Mathematical Monthly ◽

10.1080/00029890.2005.11920247 ◽

2005 ◽

Vol 112 (8) ◽

pp. 740-742

Author(s):

Geoffrey Brown

Keyword(s):

Minkowski’S Inequality

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On Jensen’s inequality, Hölder’s inequality, and Minkowski’s inequality for dynamically consistent nonlinear evaluations

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0677-5 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 3

Author(s):

Zhaojun Zong ◽

Feng Hu ◽

Chuancun Yin ◽

Helin Wu

Keyword(s):

Hölder’S Inequality ◽

Jensen’S Inequality ◽

Minkowski’S Inequality ◽

Jensen's Inequality ◽

Hölder's Inequality

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A converse of Minkowski's inequality

Discrete Mathematics ◽

10.1016/s0012-365x(99)00350-7 ◽

2000 ◽

Vol 216 (1-3) ◽

pp. 253-256

Author(s):

Horst Alzer ◽

Stephan Ruscheweyh

Keyword(s):

Minkowski’S Inequality

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Ona-Wright convexity and the converse of Minkowski's inequality

Aequationes Mathematicae ◽

10.1007/bf01840480 ◽

1992 ◽

Vol 43 (1) ◽

pp. 106-112 ◽

Cited By ~ 6

Author(s):

Janusz Matkowski

Keyword(s):

Minkowski’S Inequality

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Convexity and Minkowski's Inequality

American Mathematical Monthly ◽

10.2307/30037577 ◽

2005 ◽

Vol 112 (8) ◽

pp. 740

Author(s):

Geoffrey Brown

Keyword(s):

Minkowski’S Inequality

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A (⋆, ∗)-Based Minkowski’s Inequality for Sugeno Fractional Integral of Order α > 0

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2015-0052 ◽

2015 ◽

Vol 18 (4) ◽

Cited By ~ 1

Author(s):

Azizollah Babakhani ◽

Hamzeh Agahi ◽

Radko Mesiar

Keyword(s):

Fractional Integral ◽

Fuzzy Measure ◽

Minkowski’S Inequality ◽

Fuzzy Integral ◽

Binary Operations

AbstractWe first introduce the concept of Sugeno fractional integral based on the concept of g-seminorm. Then Minkowski’s inequality for Sugeno fractional integral of the order α > 0 based on two binary operations ⋆, ∗ is given. Our results significantly generalize the previous results in this field of fuzzy measure and fuzzy integral. Some examples are given to illustrate the results.

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