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  2. Turkish Journal of Science
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  4. Cilt 5, Sayı 3
Yıl 2020, Cilt 5 , Sayı 3, Sayfalar 290 - 304 2020-12-30

New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications

Alper EKİNCİ [1] , Muhamet Emin ÖZDEMİR [2] , Erhan SET [3]

Öz

In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applications for P.D.F's are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.

Anahtar Kelimeler

Ostrowski inequality, quasi-convex functions, Hölder inequality, Power- mean inequality, midpoint formula

Kaynakça

  • T-Y. Zhang and F. Qi, Integral inequalities of Hermite–-Hadamard type for m-AH convex functions, Turkish Journal of Analysis and Number Theory, 2014, Vol. 2, No. 3, 60-64
  • M. Alomari, M. Darus and U.S. Kırmacı, Refinements of Hadamard-type inequalities for quasi- convex functions with applications to trapezoidal formula and to special means, Comp. Math. Appl., 59 (2010), 225–232.
  • M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Hermite-Hadamard’s type for functions whose second derivatives absolute values are quasi-convex, Tamk. J. Math. 41 (2010)353-359.
  • M. Alomari and M. Darus, Some Ostrowski type inequalities for quasi-convex functions with applications to special means, RGMIA, 13 (2) (2010), article No. 3.
  • M. Alomari and M. Darus, On some inequalities Simpson-type via quasi-convex functions with applications, Trans. J. Math. Mech., (2) (2010), 15–24.
  • D. A. Ion, Some estimates on the Hermite-Hadamard inequality through quasi-convex functions, Annals of University of Craiova Math. Comp. Sci. Ser., 34 (2007), 82–87.
  • J.E. Peµcaric, F. Proschan Y.L. and Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press Inc., 1992.
  • A. Ostrowski, Über die Absolutabweichung einer differentierbaren Funktion von ihren Inte-gralmittelwert, Comment. Math. Helv., 10, 226-227, (1938).

Ayrıntılar

Birincil Dil en
Konular Fen
Bölüm Volume V Issue III 2020
Yazarlar

Orcid: 0000-0003-1589-2593
Yazar: Alper EKİNCİ (Sorumlu Yazar)
Kurum: BANDIRMA ONYEDI EYLUL UNIVERSITY
Ülke: Turkey

Orcid: 0000-0002-5992-094X
Yazar: Muhamet Emin ÖZDEMİR
Kurum: ULUDAG UNIVERSITY
Ülke: Turkey

Orcid: 0000-0003-1364-5396
Yazar: Erhan SET
Kurum: ORDU UNIVERSITY
Ülke: Turkey
Tarihler

Yayımlanma Tarihi : 30 Aralık 2020

Kaynak Göster

Bibtex @araştırma makalesi { tjos834903, journal = {Turkish Journal of Science}, issn = {2587-0971}, eissn = {2587-0971}, address = {KED YAYINCILIK LTD. ŞTİ. Ağrı}, publisher = {Ahmet Ocak AKDEMİR}, year = {2020}, volume = {5}, pages = {290 - 304}, doi = {}, title = {New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications}, key = {cite}, author = {Ekinci, Alper and Özdemir, Muhamet Emin and Set, Erhan} }
APA Ekinci, A , Özdemir, M , Set, E . (2020). New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications . Turkish Journal of Science , 5 (3) , 290-304 . Retrieved from https://dergipark.org.tr/tr/pub/tjos/issue/59057/834903
MLA Ekinci, A , Özdemir, M , Set, E . "New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications" . Turkish Journal of Science 5 (2020 ): 290-304 <https://dergipark.org.tr/tr/pub/tjos/issue/59057/834903>
Chicago Ekinci, A , Özdemir, M , Set, E . "New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications". Turkish Journal of Science 5 (2020 ): 290-304
RIS TY - JOUR T1 - New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications AU - Alper Ekinci , Muhamet Emin Özdemir , Erhan Set Y1 - 2020 PY - 2020 N1 - DO - T2 - Turkish Journal of Science JF - Journal JO - JOR SP - 290 EP - 304 VL - 5 IS - 3 SN - 2587-0971-2587-0971 M3 - UR - Y2 - 2020 ER -
EndNote %0 Turkish Journal of Science New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications %A Alper Ekinci , Muhamet Emin Özdemir , Erhan Set %T New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications %D 2020 %J Turkish Journal of Science %P 2587-0971-2587-0971 %V 5 %N 3 %R %U
ISNAD Ekinci, Alper , Özdemir, Muhamet Emin , Set, Erhan . "New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications". Turkish Journal of Science 5 / 3 (Aralık 2020): 290-304 .
AMA Ekinci A , Özdemir M , Set E . New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications. TJOS. 2020; 5(3): 290-304.
Vancouver Ekinci A , Özdemir M , Set E . New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications. Turkish Journal of Science. 2020; 5(3): 290-304.
IEEE A. Ekinci , M. Özdemir ve E. Set , "New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications", Turkish Journal of Science, c. 5, sayı. 3, ss. 290-304, Ara. 2021
Makalenin Yazarları
Alper EKİNCİ [1]
Muhamet Emin ÖZDEMİR [2]
Erhan SET [3]
Makale Gönder
Arşiv
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