ON NEW VERSION OF HERMITE-JENSEN-MERCER INEQUALITIES FOR NEWLY DEFINED QUANTUM INTEGRAL

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Gulshan G., Budak H., Hussain R., Sadiq A., Kosem P.

MISKOLC MATHEMATICAL NOTES, vol.24, no.3, pp.1235-1245, 2023 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 24 Issue: 3
• Publication Date: 2023
• Doi Number: 10.18514/mmn.2023.4220
• Journal Name: MISKOLC MATHEMATICAL NOTES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
• Page Numbers: pp.1235-1245
• Open Archive Collection: AVESIS Open Access Collection
• Kocaeli University Affiliated: No

Abstract

In current study, we establish some new quantum Hermite Hadamard-Jensen-Mercer type integral inequalities by way of recently newly defined integral.Then we investigate the connections between our results and those in earlier works.Furthermore, we present some examples which satisfied our main outcomes. We expect that this innovative way opens many avenues for interested researchers will reconcile discovering further quantum approximations of HermiteHadamard type variants for other classes of convex functions, and, additionally, to discover uses in the aforementioned scientific disciplines.