Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Akkurt, Abdullah"'
Publikováno v:
In Journal of PeriAnesthesia Nursing June 2022 37(3):344-350
In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative s
Externí odkaz:
http://arxiv.org/abs/1704.03299
In this paper, the new weighted inequalities were derived by-distance which is similar to the given inequality for the potential operator defined in [1].
Externí odkaz:
http://arxiv.org/abs/1607.05102
In this paper, we obtain new estimates on generalization of Hermite-Hadamard, Simpson and Ostrowski type inequalities for functions whose second derivatives is $\varphi$-convex via fractional integrals.
Externí odkaz:
http://arxiv.org/abs/1607.05104
In this paper, we consider a new class of convex functions which is called $\lambda$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $\lambda$-preinvex functions via Fractional Integrals. Some special cases
Externí odkaz:
http://arxiv.org/abs/1603.02070
Autor:
Akkurt, Abdullah, Yildirim, Hüseyin
In this paper, we consider a new class of convex functions which is called $h_{\varphi}-$preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable $h_\varphi$-preinvex functions via Fractional Integrals. Some special
Externí odkaz:
http://arxiv.org/abs/1512.03730
Autor:
Akkurt, Abdullah, Yildirim, Hüseyin
In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fej\'er type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.
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Externí odkaz:
http://arxiv.org/abs/1511.06619
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 440-449 (2021)
In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣Dq2bf∣| {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣Dq2af∣| {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum Ostr
Externí odkaz:
https://doaj.org/article/b74d4632ca2b4c5eb52f8fa196886a45
Autor:
Akkurt, Abdullah1 abdullahmat@gmail.com, Sarıkaya, M. Zeki2, Budak, Hüseyin2, Yıldırım, Hüseyin1
Publikováno v:
New Trends in Mathematical Sciences. Jul2022, Vol. 10 Issue 3, p36-43. 8p.
Autor:
Akkurt Abdullah, Yıldırım Hüseyın
Publikováno v:
Mathematica Moravica, Vol 21, Iss 1, Pp 105-123 (2017)
In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fejér type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.
Externí odkaz:
https://doaj.org/article/566f01d4837b4fa093aa24d25e0f7777