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Some new integral inequalities for Lipschitzian functions
Author(s) -
İmdat İşcan,
Mahir Kadakal,
Alper Aydın
Publication year - 2018
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2018.00565
Subject(s) - mathematics , inequality , lipschitz continuity , logarithm , class (philosophy) , harmonic , type (biology) , pure mathematics , mathematical analysis , calculus (dental) , computer science , medicine , ecology , physics , dentistry , quantum mechanics , artificial intelligence , biology
This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given.

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