engleski

General Opial type inequality for quotient of functions

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.

Opial inequality ; Green function ; Jensen inequality ; Lidstone polynomial ; Hermite interpolating polynomial

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