Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions

Huriye Kadakal; Mahir Kadakal; İmdat Iscan

doi:10.17776/csj.358766

EN TR

Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions

Abstract

In this work, by using an integral identity together with the Hölder integral inequality we establish several new inequalities for n-times differentiable Godunova-Levin functions

Keywords

Convex function,Godunova-Levin function,Hölder Integral inequality,Hölder Integral inequality

References

[1]. Akdemir A.O., Özdemir M. E., “Some Hadamard-Type Inequalities For Coordinated P−Convex Functions and Godunova-Levin Functions”, arXiv:1012.5880v2 [math.CA] 24 Mar 2011.
[2]. Cerone P., Dragomir S.S., Roumeliotis J., “Some Ostrowski type inequalities for n-time differentiable mappings and applications”, Demonstratio Math., 32 (4) (1999), 697-712.
[3]. Cerone P., Dragomir S.S., Roumeliotis J., Šunde J., “A new generalization of the trapezoid formula for n-time differentiable mappings and applications”, Demonstratio Math., 33 (4) (2000), 719-736.
[4]. Hwang D.Y.,“Some Inequalities for n-time Differentiable Mappings and Applications”, Kyung. Math. Jour., 43 (2003), 335-343.
[5]. İşcan İ., “Some Generalized Hermite-Hadamard Type Inequalities for Quasi-Geometrically Convex Functions”, American Journal of Mathematical Analysis, 2013, Vol. 1, No. 3, 48-52.
[6]. İşcan İ., “Some new general integral inequalities for h-convex and h-concave functions”, Adv. Pure Appl. Math. 5 (1), 21-29 (2014).
[7]. İşcan İ., “Hermite-Hadamard type inequalities for harmonically convex functions”, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6) (2014), 935-942.
[8]. İşcan İ., “Hermite-Hadamard type inequalities for GA-s-convex functions”, Le Matematiche, Vol. LXIX (2014) Fasc. II, pp. 129-146.
[9]. İşcan İ., Numan S., “Ostrowski type inequalities for harmonically quasi-convex functions”, Electronic Journal of Mathematical Analysis and Applications, Vol. 2(2) July 2014, pp. 189-198.
[10]. İşcan İ., “On new general integral inequalities for quasi-convex functions and their applications”, Palestine Journal of Mathematics. 4(1) (2015), 21-29.

[11]. Jiang W.D., Niu D.W., Hua Y., Qi F., “Generalizations of Hermite-Hadamard inequality to n-time differentiable function which are s -convex in the second sense”, Analysis (Munich), 32 (2012), 209-220.
[12]. Kırmacı U.S., Bakula M.K., Özdemir M.E., Pećarić J., “Hadamard-type inequalities for s -convex functions”, Appl. Math. and Comp., 193 (2007), 26-35.
[13]. Li M., Andweiwei J., “Some Fractional Hermite-Hadamard Inequalities for Convex and Godunova-Levin Functions”, Ser. Math. Inform. Vol. 30, No 2 (2015), 195-208.
[14]. Maden S., Kadakal H., Kadakal M., İşcan İ., “Some new integral inequalities for n-times differentiable convex and concave functions”. https://www.researchgate.net/publication/312529563, (Submitted).
[15]. Noor M.A., Noor K.I., Awan M.U., “Fractional Ostrowski Inequalities for s-Godunova-Levin Functions”, International Journal of Analysis and Applications, Volume 5, Number 2 (2014), 167-173.
[16]. Noor M.A., Noor K.I., Awan M.U., Khan S., “Fractional Hermite-Hadamard Inequalities for some New Classes of Godunova-Levin Functions”, Appl. Math. Inf. Sci. 8, No. 6, 2865-2872, (2014).
[17]. Özdemir M.E., Yıldız Ç., “New Inequalities for n-time differentiable functions”, Arxiv:1402.4959v1.
[18]. Özdemir M.E., “Some inequalities for the s-Godunova–Levin type functions”, Math Sci (2015) 9:27-32.
[19]. Set E., Özdemir M.E., Dragomir S.S., “On Hadamard-Type Inequalities Involving Several Kinds of Convexity”, Jour. of Ineq. and Appl., 2010, 286845.
[20]. Wang S.H., Xi B.Y., Qi F., “Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex”, Analysis (Munich), 32 (2012), 247-262.
[21]. Xi B. Y., Qi F., “Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means”, J. Funct. Spaces Appl (2012) 14 pages

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Huriye Kadakal

Mahir Kadakal ^*

İmdat Iscan

Publication Date

December 8, 2017

Submission Date

February 24, 2017

Acceptance Date

September 25, 2017

Published in Issue

Year 2017 Volume: 38 Number: 4

DOI

https://doi.org/10.17776/csj.358766

IZ

https://izlik.org/JA77GR68DR

APA

Kadakal, H., Kadakal, M., & Iscan, İ. (2017). Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions. Cumhuriyet Science Journal, 38(4), 1-5. https://doi.org/10.17776/csj.358766

AMA

1.Kadakal H, Kadakal M, Iscan İ. Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions. CSJ. 2017;38(4):1-5. doi:10.17776/csj.358766

Chicago

Kadakal, Huriye, Mahir Kadakal, and İmdat Iscan. 2017. “Some New Integral Inequalities for N-Times Differentiable Godunova-Levin Functions”. Cumhuriyet Science Journal 38 (4): 1-5. https://doi.org/10.17776/csj.358766.

EndNote

Kadakal H, Kadakal M, Iscan İ (December 1, 2017) Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions. Cumhuriyet Science Journal 38 4 1–5.

IEEE

[1]H. Kadakal, M. Kadakal, and İ. Iscan, “Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions”, CSJ, vol. 38, no. 4, pp. 1–5, Dec. 2017, doi: 10.17776/csj.358766.

ISNAD

Kadakal, Huriye - Kadakal, Mahir - Iscan, İmdat. “Some New Integral Inequalities for N-Times Differentiable Godunova-Levin Functions”. Cumhuriyet Science Journal 38/4 (December 1, 2017): 1-5. https://doi.org/10.17776/csj.358766.

JAMA

1.Kadakal H, Kadakal M, Iscan İ. Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions. CSJ. 2017;38:1–5.

MLA

Kadakal, Huriye, et al. “Some New Integral Inequalities for N-Times Differentiable Godunova-Levin Functions”. Cumhuriyet Science Journal, vol. 38, no. 4, Dec. 2017, pp. 1-5, doi:10.17776/csj.358766.

Vancouver

1.Huriye Kadakal, Mahir Kadakal, İmdat Iscan. Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions. CSJ. 2017 Dec. 1;38(4):1-5. doi:10.17776/csj.358766

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions

Some New Integral Inequalities for n-Times Differentiable Godunova-Levin Functions

Abstract

Keywords

n-kere Türevlenebilen Godunova-Levin Fonksiyonları için Bazı Yeni İntegral Eşitsizlikler

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Integral Inequalities for n-Times Differentiable h-Convex and h-Concave Functions

On exponential type P-functions

A Review of Hermite–Hadamard Inequality for α-Type Real-Valued Convex Functions

On n-fractional polynomial P-functions