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In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are ({\alpha},m)-convex.

Classical Analysis and ODEs · Mathematics 2012-07-24 Imdat Iscan

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are quasi-convex. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2012-07-25 Imdat Iscan

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are quasi-convex. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2012-07-12 Imdat Iscan

In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special…

Classical Analysis and ODEs · Mathematics 2014-04-04 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are h-convex and we point out the results for some special…

Classical Analysis and ODEs · Mathematics 2012-07-11 Imdat Iscan

In this paper, a new identity for convex functions is derived. A consequence of the identity is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in…

Classical Analysis and ODEs · Mathematics 2012-07-31 Imdat Iscan

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

Functional Analysis · Mathematics 2011-12-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci

In this paper, we establish some Simpson type inequalities for functions whose third derivatives in the absolute value are h-convex and (\alpha,m)-convex, respectively.

Classical Analysis and ODEs · Mathematics 2012-10-17 Wenjun Liu

In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are m- and (alpha,m)- logarithmically convex functions.

Classical Analysis and ODEs · Mathematics 2013-11-08 Ahmet Ocak Akdemir

In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give some sophisticated results for some…

Classical Analysis and ODEs · Mathematics 2014-02-03 Mevlut Tunc , Cetin Yildiz , Alper Ekinci

In this paper, we established some new inequalities via s-convex and s-concave functions.

Classical Analysis and ODEs · Mathematics 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

Classical Analysis and ODEs · Mathematics 2012-08-01 Imdat Iscan

In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

Classical Analysis and ODEs · Mathematics 2010-05-18 M. Z. Sarikaya , N. Aktan

In this paper, we establish new general inequality for convex functions. Then we apply this inequality to obtain the midpoint, trapezoid and averaged midpoint-trapezoid integral inequality. Also, some applications for special means of real…

Classical Analysis and ODEs · Mathematics 2012-05-10 M. Z. Sarikaya , H. Ogunmez , M. K. Yildiz

In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.

Classical Analysis and ODEs · Mathematics 2012-11-29 Mevlut Tunc

In this paper, we establish some new integral inequalities for $(\alpha, m)-$convex functions and quasi-convex functions, respectively. Our results in special cases recapture known results.

Functional Analysis · Mathematics 2012-01-31 Wenjun Liu

In this paper, we obtain some new inequalities for ({\alpha},m)-convex functions. The analysis used in the proofs is fairly elementary and based on the use of Power-mean inequality.

Functional Analysis · Mathematics 2012-09-25 M. Emin Ozdemir , Merve Avci Ardic

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

Classical Analysis and ODEs · Mathematics 2013-08-01 Imdat Iscan

In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ({\alpha},m)- convex.

Classical Analysis and ODEs · Mathematics 2011-08-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci
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