English
Related papers

Related papers: Simpson Type Inequalities for Q-Class Functions

200 papers

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.

Classical Analysis and ODEs · Mathematics 2016-07-19 M. Esra Yildirim , Abdullah Akkurt , Hüseyin Yildirim

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, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.

Classical Analysis and ODEs · Mathematics 2011-01-05 M. Emin Ozdemir , Ahmet Ocak Akdemir , Havva Kavurmaci , Merve Avci

In this paper, an inequality of Simpson type for quasi-convex mappings are proved. The constant in the classical Simpson's inequality is improved. Furthermore, the obtained bounds can be (much) better than some recently obtained bounds.…

Classical Analysis and ODEs · Mathematics 2016-03-29 Mohammad W. Alomari

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 the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha,m)$-convex and deduce some known results. As applications of the newly-established…

Classical Analysis and ODEs · Mathematics 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain

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 establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

Classical Analysis and ODEs · Mathematics 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

Classical Analysis and ODEs · Mathematics 2014-07-07 Mevlut Tunc , Sevil Balgecti

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

Classical Analysis and ODEs · Mathematics 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized s convex in the second sense, we…

Analysis of PDEs · Mathematics 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

In this paper, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable…

Classical Analysis and ODEs · Mathematics 2014-08-15 Imdat Iscan

In this paper, a general integral identity for twice differentiable functions is derived. By using of this identity, the author establish some new estimates on Hermite-Hadamard type and Simpson type inequalities for s-convex via Riemann…

Classical Analysis and ODEs · Mathematics 2013-04-16 Imdat Iscan

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

Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.

Classical Analysis and ODEs · Mathematics 2010-06-15 Erhan Set , Mehmet Zeki Sarikaya , M. Emin Ozdemir

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

Functional Analysis · Mathematics 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

In this paper several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special…

Classical Analysis and ODEs · Mathematics 2013-04-19 Imdat Işcan

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 obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

Functional Analysis · Mathematics 2012-10-24 M. Emin Özdemir , Merve Avci Ardic