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

Huriye Kadakal; Mahir Kadakal; İmdat Iscan

doi:10.17776/csj.358766

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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

Cite

RIS / Bibtex

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

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

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Subjects

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Acceptance Date

Published in Issue

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