A Generalization of GA-convex Functions and Applications

Hasan Barsam () and Yamin Sayyari ()
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Hasan Barsam: University of Jiroft
Yamin Sayyari: Sirjan University of Technology

Journal of Optimization Theory and Applications, 2025, vol. 204, issue 2, No 9, 11 pages

Abstract: Abstract In this paper, firstly we introduced $$\delta $$ δ -geometric mean and a new class of convex functions called $$\delta $$ δ -GA-convex functions. After that, we established some new inequalities involving Hermite-Hadamard type inequality and Jensen-Mercer type inequality, for $$\delta $$ δ -GA-convex functions. Finally, we give some applications of the obtained results.

Keywords: Geometrically mean; GA-convex function; Jensen’s inequality; 37B40; 26B25; 94A17; 26D15; 26D20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-024-02605-0

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