Berwald type inequality for extremal universal integrals based on (α,m)-concave function
نویسندگان
چکیده
منابع مشابه
BERWALD TYPE INEQUALITY FOR EXTREMAL UNIVERSAL INTEGRALS BASED ON (α,m)–CONCAVE FUNCTION
The aim of this work is to show a Berwald type inequality for the extremal universal integrals based on (α ,m) concave function. Some examples are given to illustrate the validity of these inequalities.
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نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
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Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have ...
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A hierarchical family of integrals based on a fixed copula is introduced and discussed. The extremal members of this family correspond to the inner and outer extension of integrals of basic functions, the copula under consideration being the corresponding multiplication. The limits of the members of the family are just copulabased universal integrals as recently introduced in Klement et al. (IE...
متن کاملStolarsky Type Inequality for Sugeno Integrals on Fuzzy Convex Functions
Recently, Flores-Franulič et al. [A note on fuzzy integral inequality of Stolarsky type, Applied Mathematics and Computation 208 (2008) 55-59] proved the Stolarsky’s inequality for the Sugeno integral on the special class of continuous and strictly monotone functions. This result can be generalized to a general class of fuzzy convex functions in this paper. We also give a fuzzy integral inequal...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2015
ISSN: 1846-579X
DOI: 10.7153/jmi-09-01