Yazar "Yildirim, Huseyin" seçeneğine göre listele

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    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, Huseyin; Yildirim, Huseyin
    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.
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    On new generalized inequalities with some parameters for coordinated convex functions via generalized fractional integrals
    (Wiley, 2021) Budak, Huseyin; Yildirim, Seda Kilinc; Kara, Hasan; Yildirim, Huseyin
    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.
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    ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED CONVEX FUNCTIONS
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Akkurt, Abdullah; Sarikaya, M. Zeki; Budak, Huseyin; Yildirim, Huseyin
    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.
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    Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
    (Wiley, 2021) Ali, Muhammad Aamir; Budak, Huseyin; Zhang, Zhiyue; Yildirim, Huseyin
    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.
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    Structural and magnetic properties of polyicosahedral Ni-Pt-Cu ternary nanoalloys
    (Iop Publishing Ltd, 2021) Taran, Songul; Yildirim, Huseyin; Arslan, Haydar
    In this study, a series of simulations were carried out to study the effects of size, composition and geometric structure on the structural and magnetic properties of ternary Ni-Pt-Cu nanoalloys. Different sizes and compositions were considered to compare the structural stability and magnetic behavior of Ni2Pt n Cu17-n (n = 0-17), Ni3Pt n Cu20-n (n = 0-20) and Ni4Pt n Cu22-n (n = 0-22) nanoalloy systems. We performed combinations of Gupta and density functional theory (DFT) simulations to check the validity of atomistic potentials against DFT. We calculated the excess energy to analyze the relative stability of Ni-Pt-Cu nanoalloys. The most negative excess energy values at the Gupta level are obtained in the compositions Ni2Pt5Cu12 in Ni2PtnCu17-n, Ni3Pt8Cu12 in Ni3PtnCu20-n and Ni4Pt9Cu13 in Ni4Pt n Cu22-n nanoalloys. While the most stable compositions Ni2Pt5Cu12 and Ni3Pt8Cu12 at the Gupta level do not agree with those obtained at the DFT level, the lowest energy values were obtained in the same composition Ni4Pt9Cu13 of 26-atom trimetallic nanoalloys at the Gupta and DFT levels. It was also found that most of the atoms on surface sites suffer tensile strain with substitution of Pt atoms. We have also investigated the total magnetic moments of the nanoalloys. In addition, the correlation of the local magnetic moments and charges of the atoms in these systems were discussed. It was found that total magnetic moments of trimetallic nanoalloys follow an almost linear dependence on the Pt concentration, despite the small concentration of Ni atoms and the weak magnetic properties of Pt atoms.
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    Understanding the shape effect on the structural, energetic, magnetic, and pressure properties of the 38 atom-Co-Fe-Pd nanoalloys using Gupta and DFT calculations
    (Iop Publishing Ltd, 2024) Yildirim, Huseyin; Taran, Songul; Arslan, Haydar
    The alloy of magnetic metals with noble metals plays a key role in showing the magnetism of 3d metals and the catalytic properties of noble metals. A growing body of evidence suggests that 38 atoms is one of the most critical sizes for Ih and TO motifs. This study analyses the roles played by the shape effect on the structures, energies, magnetism, and pressures of Co6FenPd32-n (n = 0-32) nanoalloys and provides evidence regarding this phenomenon. Therefore, this study should be of value to researchers wishing to conduct future experimental and theoretical studies on the catalytic, electronic, optical, and magnetic properties of nanoalloys.