Tbilisi Mathematical Journal

On some Hermite-Hadamard-type integral inequalities for co-ordinated $\boldsymbol{(\alpha, \mbox{QC})}$- and $\boldsymbol{(\alpha, \mbox{CJ})}$-convex functions

Bo-Yan Xi, Jian Sun, and Shu-Ping Bai

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Abstract

In the article, the authors introduce the new concepts “co-ordinated $(\alpha, \mbox{QC})$-, $(\alpha,\mbox{JQC})$-, $(\alpha, \mbox{CJ})$- and $(\alpha, \mbox{J})$-convex functions”, establish some Hermite-Hadamard's type integral inequalities for the co-ordinated $(\alpha, \mbox{QC})$-, $(\alpha,\mbox{JQC})$-, $(\alpha, \mbox{CJ})$- and $(\alpha, \mbox{J})$-convex functions.

Article information

Source
Tbilisi Math. J., Volume 8, Issue 2 (2015), 75-86.

Dates
Received: 29 January 2015
Accepted: 24 May 2015
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528769008

Digital Object Identifier
doi:10.1515/tmj-2015-0012

Mathematical Reviews number (MathSciNet)
MR3360644

Subjects
Primary: 26A51: Convexity, generalizations
Secondary: 26D15: Inequalities for sums, series and integrals 26D20: Other analytical inequalities 26E60: Means [See also 47A64] 41A55: Approximate quadratures

Keywords
co-ordinated $(\alpha, \mbox{QC})$-convex function co-ordinated $(\alpha,\mbox{JQC})$-convex function co-ordinated $(\alpha, \mbox{CJ})$-convex function co-ordinated $(\alpha, \mbox{J})$-convex function Hermite-Hadamard integral inequality

Citation

Xi, Bo-Yan; Sun, Jian; Bai, Shu-Ping. On some Hermite-Hadamard-type integral inequalities for co-ordinated $\boldsymbol{(\alpha, \mbox{QC})}$- and $\boldsymbol{(\alpha, \mbox{CJ})}$-convex functions. Tbilisi Math. J. 8 (2015), no. 2, 75--86. doi:10.1515/tmj-2015-0012. https://projecteuclid.org/euclid.tbilisi/1528769008


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References

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