On the extension of q-Hermite-Hadamard inequalities for strong convexity
This study leverages $q$-calculus to establish $q$-Hermite-Hadamard type inequalities for strongly convex functions, showcasing possible extensions of well-known results in the field. Additionally, it enhances these findings by exploring the strong convexity of the function $\Phi$. Furthermore, the...
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| Published in: | European journal of pure and applied mathematics Vol. 18; no. 1; p. 5661 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
01.01.2025
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| ISSN: | 1307-5543, 1307-5543 |
| Online Access: | Get full text |
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| Summary: | This study leverages $q$-calculus to establish $q$-Hermite-Hadamard type inequalities for strongly convex functions, showcasing possible extensions of well-known results in the field. Additionally, it enhances these findings by exploring the strong convexity of the function $\Phi$. Furthermore, the $q$-midpoint and $q$-trapezoidal inequalities are unified within a comprehensive framework. Ultimately, the results suggest that the newly derived inequalities can be effectively applied in the context of special means.
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| ISSN: | 1307-5543 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v18i1.5661 |