What does this research mean for the field?

The application of the $\psi$-Riemann Liouville $k$-fractional integral operator yields new Hermite-Hadamard type inequalities and fractional lemmas that can be applied to special means. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish generalized Hermite-Hadamard type inequalities and identities utilizing the psi-Riemann-Liouville k-fractional integral operator along with Mittag-Leffler and Raina-type mappings.

September 2, 2026Universal Journal of Mathematics and ApplicationsOpen Access

Fractional Refinements of Hermite-Hadamard Type Inequality Involving Mittag-Leffler and Raina's Mappings with Applications to Special Means

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Authors

HAHijaz Ahmad MTMuhammad Tariq WAWaqar Afzal

Discussion

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Overview

Mathematical analysis demonstrates generalized Hermite-Hadamard inequalities using fractional operators, highlighting new applications to special means.

Key Points

To establish generalized Hermite-Hadamard type inequalities and identities utilizing the psi-Riemann-Liouville k-fractional integral operator along with Mittag-Leffler and Raina-type mappings.
Applied the psi-Riemann-Liouville k-fractional integral operator to analyze mathematical inequality structures.
Formulated two fractional integral identity lemmas involving generalized mappings.
Extended the theoretical findings to derive analytical bounds for special mathematical means.
Derived new Hermite-Hadamard type fractional inequalities using the psi-Riemann-Liouville k-fractional framework.
Established two auxiliary fractional lemmas that generate modified inequality variants.
Demonstrated practical mathematical applications of the refined inequalities to evaluate special means.

Cite This Study

Ahmad et al. (2026) studied this question.

synapsesocial.com/papers/6a97e249c562ede874ec6502 https://doi.org/10.32323/ujma.1925583

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September 2, 2026Universal Journal of Mathematics and ApplicationsOpen Access

Fractional Refinements of Hermite-Hadamard Type Inequality Involving Mittag-Leffler and Raina's Mappings with Applications to Special Means

View Full Paper

Ask AI

Bookmark

Authors

HAHijaz Ahmad MTMuhammad Tariq WAWaqar Afzal

Discussion

Member takes

Overview

Mathematical analysis demonstrates generalized Hermite-Hadamard inequalities using fractional operators, highlighting new applications to special means.

Key Points

To establish generalized Hermite-Hadamard type inequalities and identities utilizing the psi-Riemann-Liouville k-fractional integral operator along with Mittag-Leffler and Raina-type mappings.
Applied the psi-Riemann-Liouville k-fractional integral operator to analyze mathematical inequality structures.
Formulated two fractional integral identity lemmas involving generalized mappings.
Extended the theoretical findings to derive analytical bounds for special mathematical means.
Derived new Hermite-Hadamard type fractional inequalities using the psi-Riemann-Liouville k-fractional framework.
Established two auxiliary fractional lemmas that generate modified inequality variants.
Demonstrated practical mathematical applications of the refined inequalities to evaluate special means.

Cite This Study

Ahmad et al. (2026) studied this question.

synapsesocial.com/papers/6a97e249c562ede874ec6502 https://doi.org/10.32323/ujma.1925583

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