Mehmet Zeki Sarikaya

Düzce University

Regular polygonCombinatoricsAlgebraMathematical analysisType (model theory)Convex functionFractional calculusGeneralizationHermite polynomialsPure mathematicsDifferentiable functionHermite–Hadamard inequalityBounded variationApplied mathematicsType inequalityCalculusMathematicsInequalityHadamard transformConformable matrix

279Publications

28H-index

2,703Citations

Publications 277

Newest

#1Fatma ErtuğralH-Index: 3

#2Mehmet Zeki SarikayaH-Index: 28

In this paper, we have established some trapezoid type inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities and Riemann-Liouville type fractional operators.

Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions

#1Hasan Kara (Düzce University)H-Index: 3

#2Hüseyin Budak (Düzce University)H-Index: 15

Last. Yu-Ming ChuH-Index: 4

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In this paper, we establish some Hermite–Hadamard–Fejer type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.

#1Necmettin Alp (Düzce University)H-Index: 6

#2Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable res...

#1Hasan Kara (Düzce University)H-Index: 3

#2Hüseyin Budak (Düzce University)H-Index: 15

Last. Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

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In this article, we introduce a new concept of quantum integrals which is called null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null ${}^{\kap...

#1Kamel Tablennehas (University of Mostaganem)H-Index: 1

#2Zoubir Dahmani (University of Mostaganem)H-Index: 11

Last. Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

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In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane–Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.

Different type parameterized inequalities for preinvex functions with respect to another function via generalized fractional integral operators and their applications

#1Artion KashuriH-Index: 16

#2Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

UDC 517.5The authors have proved an identity with two parameters for differentiable function with respect to another function via generalized integral operator. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some ap...

#1Muhammad Ali (Nanjing Normal University)H-Index: 30

#2Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

Last. Zhiyue Zhang (Nanjing Normal University)H-Index: 14

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In this work, authors establish Hermite–Hadamard inequalities for submultiplicative functions and give some more inequalities related to Hermite–Hadamard inequalities. We also give new inequalities of Hermite–Hadamard type in the special cases of our main results.

#1Mohamed BezziouH-Index: 6

#2Zoubir DahmaniH-Index: 11

Last. Mehmet Zeki SarikayaH-Index: 28

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This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.

#1Bouharket BenaissaH-Index: 1

#2Mehmet Zeki Sarikaya (Düzce University)H-Index: 28

In this paper, we give some new generalizations to the Hardy-type integral inequalities for functions of two variables by using weighted mean operators $S_{1}:=S_{1}^{w}f and S_{2}:=S_{2}^{w}f defined by \begin{aligned}S_{1}(x,y)=\displaystyle \frac{1}{W(x)W(y)}\int _{\frac{x}{2}}^{x}\int _{\frac{y }{2}}^{y}w(t)w(s)f(t,s)dsdt,\end{aligned} and \begin{aligned}S_{2}(x,y)=\displaystyle \int _{\frac{x}{2}}^{x}\int _{\frac{y}{2}}^{y}\frac{ w(t)w(s)}{W(t)W(s)}f(t,s)dsdt,\end{aligned} wi...

#1Hüseyin BudakH-Index: 15

#2Mehmet Zeki SarikayaH-Index: 28

In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane ℝ². Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping. The inequalities obtained in this study provide generalizations of some result given in earlier works.

Close Researchers

Erhan Set

H-index : 21

Hüseyin Yildirim

H-index : 15

Hüseyin Budak

H-index : 15

İmdat İşcan

H-index : 20

Hatice Yaldiz

H-index : 6

Fuat Usta

H-index : 8

Farooq Ahmad

H-index : 22

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