Abstract
Theorem. Let for a function f defined on an interval val [a,b] , where a b are any real numbers, there exists the numbers p>q>0 and C>1 such that This result improves the result of R. Fukuda in the sense of the completeness and simplicity of the proof. At the same time we give more precise constant for this inequality. This inequality can be used for some related problems of functional analysis and probability theory.
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CITATION STYLE
Denchev, R., Kvaratskhelia, V., & Vakhania, N. (2012). On an integral inequality. In Information and Computer Technologies - Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th Anniversary of I.V. Prangishvili (pp. 567–570). Nova Science Publishers, Inc. https://doi.org/10.1098/rspa.1977.0167
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