Browsing by Author "Rabossi, F."

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    On generalizations of integral inequalities
    (Petrozavodsk State Univ, 2022-01-01) Napoles, J.; Rabossi, F.; Bayraktar, Bahtiyar; BAYRAKTAR, BAHTİYAR; Bursa Uludağ Üniversitesi/Eğitim Fakültesi.; 0000-0001-7594-8291; ABI-7823-2020
    In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequali-ties.
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    Some refinements of the hermite-hadamard inequality with the help of weighted integrals
    (Springer, 2023-11-11) Bayraktar, Bahtiyar; Napoles, J. E.; Rabossi, F.; BAYRAKTAR, BAHTİYAR; Bursa Uludağ Üniversitesi/Eğitim Fakültesi; 0000-0001-7594-8291; ABI-7823-2020
    By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite-Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.