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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 quasi-convex. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2012-07-12 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 ({\alpha},m)-convex.

Classical Analysis and ODEs · Mathematics 2012-07-11 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 ({\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 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, 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 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, 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, 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, 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 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 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, 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 obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are P-convex. These bounds can be much better than some obtained bounds. Some applications…

Classical Analysis and ODEs · Mathematics 2011-03-11 M. E. Ozdemir , Cetin Yildiz

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc , Huseyin Yildirim

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, a new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions…

Classical Analysis and ODEs · Mathematics 2013-10-21 İmdat İşcan

In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $\varphi$-convex.

Functional Analysis · Mathematics 2012-07-10 M. Emin Ozdemir , Merve Avci , A. Ocak Akdemir
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