Muhamet Emin Özdemir

Atatürk University

Regular polygonCombinatoricsConvex analysisAlgebraMathematical analysisType (model theory)Convex functionYoung's inequalityJensen's inequalitySubderivativeHermite polynomialsPure mathematicsDifferentiable functionHermite–Hadamard inequalityHadamard's inequalityMathematicsMidpointInequalityHadamard transformConvexityHölder's inequalityReal numberAlpha (programming language)

44Publications

14H-index

971Citations

Publications 44

Newest

#1Muhamet Emin ÖzdemirH-Index: 14

#2Ahmet Ocak AkdemirH-Index: 14

Last. Alper EkinciH-Index: 3

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In this paper, we prove some new integral inequalities for co-ordinated convex functions by using a new lemma and fairly elementary analysis.

#1Alper EkinciH-Index: 3

#2Ahmet Ocak AkdemirH-Index: 14

Last. Muhamet Emin ÖzdemirH-Index: 14

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In this study, we obtain some new integral inequalities for different classes of convex functions by using classical inequalities like general Cauchy inequality and reverse Minkowski inequality.

#1Alper EkinciH-Index: 3

#2Muhamet Emin ÖzdemirH-Index: 14

Last. Erhan SetH-Index: 21

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In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applications for P.D.F's are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.

#1Muhamet Emin ÖzdemirH-Index: 14

#2Alper EkinciH-Index: 3

In this paper, we introduce a new class called (α,β )-convex of Fαβ and give some basic properties for this class like positivity and (α,β ) convexity of compound function. (α,β )-convex functions are more general form of s-convex and ordinary convex functions. After basic and useful properties of this class we give Hermite-Hadamard inequality for this class then we give inequalities involving mappings H and F. Also we give an ineqauality for (α,β)-convex functions including a third mapping Ff w...

#1Erhan SetH-Index: 21

#2Muhamet Emin ÖzdemirH-Index: 14

#1Muhamet Emin ÖzdemirH-Index: 14

#2Hemen DuttaH-Index: 14

Last. Ahmet Ocak AkdemirH-Index: 14

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In this note, we give some necessary concepts and definitions, firstly. Then, we use k-ractional integral operators to establish some new integral inequalities for different kinds of convex functions. These integral inequalities include some Hadamard type integral inequalities that exist in literature for fractional integrals.

#1Mustafa GürbüzH-Index: 4

#2Muhamet Emin ÖzdemirH-Index: 14

In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained. To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.

#1Erhan SetH-Index: 21

#2Muhamet Emin ÖzdemirH-Index: 14

Last. Necla KorkutH-Index: 1

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The aim of the present paper is to investigate some new Hermite-Hadamard type integral inequalities for (\alpha^{*},m)convex functions via Riemann-Liouville fractional integrals.

#1Muhamet Emin ÖzdemirH-Index: 14

#2Ahmet Ocak AkdemirH-Index: 14

SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE

#1Muhamet Emin ÖzdemirH-Index: 14

#2Alper EkinciH-Index: 3

Last. Ahmet Ocak AkdemirH-Index: 14

view all 3 authors...

Close Researchers

Erhan Set

H-index : 21

Mehmet Zeki Sarikaya

H-index : 28

Ahmet Ocak Akdemir

H-index : 14

U. S. Kirmaci

H-index : 6

Cetin Yildiz

H-index : 7

Josip Pečarić

H-index : 36

M. Klaričić Bakula

H-index : 6

Alper Ekinci

H-index : 3

Havva Kavurmaci

H-index : 12

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