Yazar "Yildirim, Hüseyin" seçeneğine göre listele

Listeleniyor 1 - 5 / 5
  • Küçük Resim Yok
    Öğe
    On new generalized fractional midpoint-type inequalities for co-ordinated convex and co-ordinated concave functions
    (Univ Nis, 2023) Yildirim, Seda Kilinc; Kara, Hasan; Budak, Hüseyin; Yildirim, Hüseyin
    In this paper, we firstly obtain a new generalized identity for twice partially differentiable functions Riemann-Liouville fractional integrals. Then, using this equality, we obtain some midpoint-type inequalities for co-ordinated convex and co-ordinated concave functions. We also show that our result generalizes the give several inequalities obtained in earlier works.
  • Küçük Resim
    Öğe
    On new generalized inequalities with some parameters for coordinated convex functions via generalized fractional integrals
    (Wiley, 2021) Budak, Hüseyin; Yildirim, Seda Kilinc; Kara, Hasan; Yildirim, Hüseyin
    In this work, firstly, we obtain a new identity with some parameters for generalized fractional integrals. Then by utilizing this obtained equality, we establish some new parameterized inequalities for coordinated convex functions via generalized fractional integrals. In addition, in a separate section, we show that the results given in the main section reduce to several trapezoid, midpoint, and Simpson type inequalities for various values of parameters.
  • Küçük Resim Yok
    Öğe
    On Some Special Functions for Conformable Fractional Integrals
    (Mehmet Zeki SARIKAYA, 2020) Sarıkaya, Mehmet Zeki; Akkurt, Abdullah; Budak, Hüseyin; Türkay, Merve Esra; Yildirim, Hüseyin
    In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( x\right) _{n,k}^{\alpha }\ $and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.                                                                                                                                                                                                                                                      
  • Küçük Resim Yok
    Öğe
    ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED CONVEX FUNCTIONS
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Akkurt, Abdullah; Sarikaya, M. Zeki; Budak, Hüseyin; Yildirim, Hüseyin
    In this paper, we obtain two identities for functions of two variables and apply them to give new Hermite-Hadamard type integral inequalities for double integrals involving functions whose derivatives are bounded or co-ordinates are convex function on Delta := [a, b] x [c, d] in R-2 with a < b, c < d.
  • Küçük Resim
    Öğe
    Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
    (Wiley, 2021) Ali, Muhammad Aamir; Budak, Hüseyin; Zhang, Zhiyue; Yildirim, Hüseyin
    In this article, by using the notion of newly defined q(1)q(2) derivatives and integrals, some new Simpson's type inequalities for coordinated convex functions are proved. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson's inequalities for coordinated convex functions.