Hadamard's inequality for \(r\)-convex functions
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Publication:1378574
DOI10.1006/jmaa.1997.5645zbMath0891.26013OpenAlexW2038244498MaRDI QIDQ1378574
Josip E. Pečarić, Peter M. W. Gill, Charles E. M. Pearce
Publication date: 11 March 1998
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5645
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
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Cites Work
