On New Estimates of q-Hermite–Hadamard Inequalities with Applications in Quantum Calculus

نویسندگان

چکیده

In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals types. Then, prove some new q-midpoint q-trapezoidal estimates for newly established q-Hermite-Hadamard inequality (involving left right proved by Bermudo et al.) under q-differentiable convex functions. Finally, provide examples to illustrate validity obtained inequalities.

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ژورنال

عنوان ژورنال: Axioms

سال: 2023

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms12010049