Browsing by Author "Numan, Selim"

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    On exponential type P-functions
    (Ankara Üniversitesi Fen Fakültesi, 2021-06-30) Numan, Selim; İşcan, İmdat; Other; Other
    In this paper, we introduce and study the concept of exponential type P-function and establish Hermite-Hadamard's inequalities for this type of functions. In addition, we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral the function in the trapezoidal formula and for some inequalities related to special means of real numbers.
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    Some general integral inequalities for Lipschitzian functions via conformable fractional integral
    (Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Turhan, Sercan; İşcan, İmdat; Numan, Selim; Other; Other
    In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral.