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Some variants of the integral mean value theorem

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Abstract

This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

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Integral mean value theorem, Sahoo's theorem, Wayment's theorem

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English

Citation

International Journal of Mathematical Education in Science and Technology.

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