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New Generalized Inequalities for Functions of Bounded Variation
Abstract
In this paper, firstly we obtain some generalized trapezoid and midpoint
type inequalities for functions of bounded variation using two new generalized identities
for Riemann-Stieltjes integrals. Then quadrature formula is also provided.
Keywords
References
- [1]. Budak H. and Sarikaya M.Z., On generalization of Dragomir's inequalities, Turkish Journal of Analysis and Number Theory, 5-5(2017) 191-196.
- [2]. Budak H. and Sarikaya M.Z., New weighted Ostrowski type inequalities for mappings with first derivatives of bounded variation TJMM, 8-1(2016) 21-27.
- [3]. Budak H. and Sarikaya M.Z., Sarikaya, New weighted Ostrowski type inequalities for mappings whose nth derivatives are of bounded variation, International Journal of Analysis and Applications, 12-1(2016) 71-79.
- [4]. Budak H., Sarikaya M.Z., Akkurt A. and Yildirim H., Perturbed companion of Ostrowski type inequality for functions whose first derivatives are of bounded variation, Konuralp Journal of Mathematics, 5-1(2017) 161-175.
- [5]. Budak H. and Sarikaya M.Z., A new Ostrowski type inequalities for functions whose first derivatives are bounded variation, Moroccan Journal of Pure and Applied Analysis, 2-1(2016) 1-11.
- [6]. Budak H., Sarikaya M.Z., and Qayyum A., Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and application, Filomat, 31-16(2017) 5305–5314.
- [7]. Cerone P., Cheung W.S., and Dragomir S.S., On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation, Computers and Mathematics with Applications 54 (2007) 183-191.
- [8]. Cerone P., Dragomir S.S., and Pearce C.E.M., A generalized trapezoid inequality for functions of bounded variation, Turk J Math, 24 (2000) 147-163.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
September 30, 2018
Submission Date
April 10, 2018
Acceptance Date
September 11, 2018
Published in Issue
Year 2018 Volume: 39 Number: 3
APA
Budak, H., & Sarıkaya, M. Z. (2018). New Generalized Inequalities for Functions of Bounded Variation. Cumhuriyet Science Journal, 39(3), 668-678. https://doi.org/10.17776/csj.414037
AMA
1.Budak H, Sarıkaya MZ. New Generalized Inequalities for Functions of Bounded Variation. CSJ. 2018;39(3):668-678. doi:10.17776/csj.414037
Chicago
Budak, Hüseyin, and Mehmet Zeki Sarıkaya. 2018. “New Generalized Inequalities for Functions of Bounded Variation”. Cumhuriyet Science Journal 39 (3): 668-78. https://doi.org/10.17776/csj.414037.
EndNote
Budak H, Sarıkaya MZ (September 1, 2018) New Generalized Inequalities for Functions of Bounded Variation. Cumhuriyet Science Journal 39 3 668–678.
IEEE
[1]H. Budak and M. Z. Sarıkaya, “New Generalized Inequalities for Functions of Bounded Variation”, CSJ, vol. 39, no. 3, pp. 668–678, Sept. 2018, doi: 10.17776/csj.414037.
ISNAD
Budak, Hüseyin - Sarıkaya, Mehmet Zeki. “New Generalized Inequalities for Functions of Bounded Variation”. Cumhuriyet Science Journal 39/3 (September 1, 2018): 668-678. https://doi.org/10.17776/csj.414037.
JAMA
1.Budak H, Sarıkaya MZ. New Generalized Inequalities for Functions of Bounded Variation. CSJ. 2018;39:668–678.
MLA
Budak, Hüseyin, and Mehmet Zeki Sarıkaya. “New Generalized Inequalities for Functions of Bounded Variation”. Cumhuriyet Science Journal, vol. 39, no. 3, Sept. 2018, pp. 668-7, doi:10.17776/csj.414037.
Vancouver
1.Hüseyin Budak, Mehmet Zeki Sarıkaya. New Generalized Inequalities for Functions of Bounded Variation. CSJ. 2018 Sep. 1;39(3):668-7. doi:10.17776/csj.414037