IMPROVEMENT OF JENSEN–STEFFENSEN’S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS

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ABRAMOVICH SH.; IVELIC S.; PECARIC J.E.

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Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2010 | Volume:4 | Issue:1 Page(s): 159-169

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Title

IMPROVEMENT OF JENSEN–STEFFENSEN’S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS

Author(s)

ABRAMOVICH SH. | IVELIC S. | PECARIC J.E. | Issue Writer Certificate

Keywords

JENSEN–STEFFENSEN INEQUALITY

SUPERQUADRATIC FUNCTION

CONVEX FUNCTION

Abstract

In this paper, improvements for SUPERQUADRATIC FUNCTIONs of Jensen– Steffensen’s and related inequalities are discussed. For SUPERQUADRATIC FUNCTIONs which are not convex we get inequalities analog to Jensen–Steffensen’s inequality for CONVEX FUNCTIONs. For SUPERQUADRATIC FUNCTIONs which are convex (including many useful functions), we get improvements and extensions of Jensen–Steffensen’s inequality and related inequalities.

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APA: Copy

ABRAMOVICH, SH., IVELIC, S., & PECARIC, J.E.. (2010). IMPROVEMENT OF JENSEN–STEFFENSEN’S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(1), 159-169. SID. https://sid.ir/paper/316914/en

Vancouver: Copy

ABRAMOVICH SH., IVELIC S., PECARIC J.E.. IMPROVEMENT OF JENSEN–STEFFENSEN’S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(1):159-169. Available from: https://sid.ir/paper/316914/en

IEEE: Copy

SH. ABRAMOVICH, S. IVELIC, and J.E. PECARIC, “IMPROVEMENT OF JENSEN–STEFFENSEN’S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 1, pp. 159–169, 2010, [Online]. Available: https://sid.ir/paper/316914/en

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