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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 3

New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion

Hüseyin BUDAK
Fuat USTA
Mehmet Zeki SARİKAYA
Sayfa
567–578
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some numerical experiments have been given to show the applicability and accuracy of the proposed method.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we have been introduced and tested some significant new bounds of Ostrowski type integral inequalities.
📊
Temel Bulgular & Veri:In accordance with this purpose we have taken advantageous of the Taylor expansion for functions.
💡
Sonuç & Katkı:Some numerical experiments have been given to show the applicability and accuracy of the proposed method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ostrowski inequality · Taylor expansion

Abstract

In this paper, we have been introduced and tested some significant new bounds of Ostrowski type integral inequalities. In accordance with this purpose we have taken advantageous of the Taylor expansion for functions. Some numerical experiments have been given to show the applicability and accuracy of the proposed method.

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Bu Makaleye Atıf Yap

BUDAK, H., USTA, F., SARİKAYA, M. Z. (2022). New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 3, 567–578. https://ajindex.com/articles/530184

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Kaynakça (4)

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  2. S. S. Dragomir, S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Comput. Math. Appl., 33 (1997), 1520. S. S. Dragomir and S. Wang, An inequality of Ostrowski-Gruss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Comput. Math. Appl. 33 (1997), no. 11, 1520. V. N. Huy and Q. A. Ngo, New bounds for the Ostrowski-like type inequalities, Bull. Korean Math. Soc. 48 (2011) 95-104. A. R. Kashif,, M. Shoaib, M. A. Latif, Improved version of perturbed Ostrowski type inequalities for n-times dierentiable mappings with three-step kernel and its application, J. Nonlinear Sci. Appl. 9 (2016), 33193332. M. E. Kiris and M. Z. Sarikaya, On Ostrowski type inequalities and Ceby²ev type inequalities, Filomat, 29:8 (2015), 16951713. Z. Liu, Some OstrowskiGrüss type inequalities and applications, Comput. Math. Appl. 53 (2007) 7379. Z. Liu, Some Ostrowski type inequalities, Math. Comput. Modelling 48 (2008) 949960. W. Liu, New bounds for the companion of Ostrowski's inequality and applications, Filomat, 28 (2014), 167178. A. M. Ostrowski, Über die absolutabweichung einer dierentiebaren funktion von ihrem integralmitelwert, Comment. Math. Helv. 10(1938), 226-227.
  3. M. Z. Sarikaya and H. Yaldiz, New generalization fractional inequalities of Ostrowski-Grüss type, Lobachevskii Journal of Math., 2013, Vol. 34, No. 4, pp. 326-331.
  4. A. Qayyum, S. Hussain, A new generalized Ostrowski Gruss type inequality and applications, Appl. Math. Lett., 25 (2012),1875-1880. N. Ujevi¢, New bounds for the rst inequality of Ostrowski-Grüss type and applications, Comput. Math. Appl., 46 (2003), 421427.