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Some Families of Integral, Trigonometric and Other Related Inequalities |
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PP: 342-360 |
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Author(s) |
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Rekha Srivastava,
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Abstract |
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| In this lecture, we propose to survey several interesting recent developments on im-
provements and generalizations of what is popularly known as Steffensen’s integral in-
equality. Moreover, as a by-product of the investigation presented here, we show how
one can correct an error in a recent generalization of Steffensen’s inequality. We also
present a brief survey of some old and new inequalities associated with trigonometric
functions. These include (among other results) a weighted and exponential generaliza-
tion of what is popularly known as Wilker’s inequality and a substantially improved
version of the S´andor-Bencze conjectured inequality. References to many related de-
velopments in recent years are also provided for the interested reader. |
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