Browsing by Author "Kunt, Mehmet"

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    Improved Hermite Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals
    (Ankara Üniversitesi Fen Fakültesi, 2019-08-01) Şanlı, Zeynep; Köroğlu, Tuncay; Kunt, Mehmet; Other; Other
    In this paper,we proved three new Katugampola fractional Hermite- Hadamard type inequalities for harmonically convex functions by using the left and the right fractional integrals independently. One of our Katugampola frac- tional Hermite-Hadamard type inequalities is better than given in [15]. Also, we gave two new Katugampola fractional identities for differentiable functions. By using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalize many results from earlier papers.
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    Quantum analog of some trapezoid and midpoint type inequalities for convex functions
    (Ankara Üniversitesi, 2022) Kunt, Mehmet; Other; Other
    In this paper a new quantum analog of Hermite-Hadamard inequality is presented, and based on it, two new quantum trapezoid and midpoint identities are obtained. Moreover, the quantum analog of some trapezoid and midpoint type inequalities are established.