Open AccessGENERAL OPIAL TYPE INEQUALITY FOR QUOTIENT OF FUNCTIONS
Author(s) -
Ana Barbir,
Kristina Krulić Himmelreich,
JOSIP PREČARIĆ
Publication year - 2016
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.12.2.06
Subject(s) - mathematics , quotient , inequality , type (biology) , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , medicine , ecology , biology , dentistry
In this paper we give general Opial type inequality for quotient of functions. Our result containes two functions, convex and concave function. We prove a new general inequality on a measure space. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lindstone series and the Hermite's interpolating polynomials.
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