Mathematica Pannonica
Volume/Issue:
Volume 28_NS2: Issue 1
Some Inequalities of Ostrowski Type for Double Integral Mean of Absolutely Continuous Functions
Author:
Silvestru Sever Dragomir Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
DST-NRF Centre of Excellence, in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa

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Pages:
32–43
Online Publication Date:
18 Feb 2022
Publication Date:
26 Apr 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/314.2022.00005
Keywords:
Integral mean; absolutely continuous functions; Ostrowski inequality; integral inequalities; special means
Open access

In this paper we establish some Ostrowski type inequalities for double integral mean of absolutely continuous functions. An application for special means is given as well.

  • [1]

    Alomari, M. W. Two-point Ostrowski’s inequality. Results Math. 72, 3 (2017), 1499-1523.

  • [2]

    Anastassiou, G. A. Self adjoint operator Ostrowski type inequalities. J. Comput. Anal. Appl. 23, 8 (2017), 1384-1397.

  • [3]

    Akkurt, A., Sarikaya, M. Z., Budak, H., and Yildirim, H. Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 111, 3 (2017), 797-807.

    • Search Google Scholar
    • Export Citation
  • [4]

    Budak, H., and Sarikaya, M. Z. A companion of Ostrowski type inequalities for mappings of bounded variation and some applications. Trans. A. Razmadze Math. Inst. 171, 2 (2017), 136-143.

    • Search Google Scholar
    • Export Citation
  • [5]

    Cerone, P., Dragomir, S. S., and Kikianty, E. Ostrowski and trapezoid type inequalities related to Pompeiu’s mean value theorem with complex exponential weight. J. Math. Inequal. 11,4 (2017), 947-964.

    • Search Google Scholar
    • Export Citation
  • [6]

    Dragomir, S. S. Ostrowski type inequalities for isotonic linear functionals, J. Ineq. Pure & Appl. Math., 3(4):Article 4, 2002.

  • [7]

    Dragomir, S. S. Ostrowski via a two functions Pompeiu’s inequality. An. §tiinŁ. Univ. “Ovidius” Constanta Ser. Mat. 24, 3 (2016), 123-139.

    • Search Google Scholar
    • Export Citation
  • [8]

    Dragomir, S. S. Ostrowski type inequalities for Lebesgue integral: a survey of recent results, Australian J. Math. Anal. Appl. 14, 1 (2017), 1-287.

    • Search Google Scholar
    • Export Citation
  • [9]

    Irshad, N., and Khan, A. R. Some applications of quadrature rules for mappings on Lp[u, υ] space via Ostrowski-type inequality. J. Numer. Anal. Approx. Theory 46, 2 (2017), 141-149.

    • Search Google Scholar
    • Export Citation
  • [10]

    Kashuri, A., and Liko, R. Ostrowski type fractional integral inequalities for generalized (g, s, m, ϕ)-preinvex functions. Extracta Math. 32, 1 (2017), 105-123.

    • Search Google Scholar
    • Export Citation
  • [11]

    Meftah, B. New Ostrowski’s inequalities. Rev. Colombiana Mat. 51, 1 (2017), 57-69.

  • [12]

    Ostrowski, A. Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert. Comment. Math. Helv., 10 (1938), 226-227.

    • Search Google Scholar
    • Export Citation
  • [13]

    Sarikaya, M. Z. and Budák, H. Generalized Ostrowski type inequalities for local fractional integrals. Proc. Amer. Math. Soc. 145, 4 (2017), 1527-1538.

    • Search Google Scholar
    • Export Citation
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Cover Mathematica Pannonica
Mathematica Pannonica
Print ISSN:
0865-2090
Online ISSN:
2786-0752

Editor in Chief: László TÓTH, University of Pécs, Pécs, Hungary

Honorary Editors in Chief:

  • János PINTZ, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • † Ferenc SCHIPP, Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary
  • Sándor SZABÓ, University of Pécs, Pécs, Hungary
     

Deputy Editors in Chief:

  • Erhard AICHINGER, JKU Linz, Linz, Austria
  • Ferenc HARTUNG, University of Pannonia, Veszprém, Hungary
  • Ferenc WEISZ, Eötvös Loránd University, Budapest, Hungary

Editorial Board

  • Attila BÉRCZES, University of Debrecen, Debrecen, Hungary
  • István BERKES, Rényi Institute of Mathematics, Budapest, Hungary
  • Károly BEZDEK, University of Calgary, Calgary, Canada
  • György DÓSA, University of Pannonia, Veszprém, Hungary
  • Balázs KIRÁLY – Managing Editor, University of Pécs, Pécs, Hungary
  • Vedran KRCADINAC, University of Zagreb, Zagreb, Croatia 
  • Željka MILIN ŠIPUŠ, University of Zagreb, Zagreb, Croatia
  • Gábor NYUL, University of Debrecen, Debrecen, Hungary
  • Margit PAP, University of Pécs, Pécs, Hungary
  • István PINK, University of Debrecen, Debrecen, Hungary
  • Mihály PITUK, University of Pannonia, Veszprém, Hungary
  • Lukas SPIEGELHOFER, Montanuniversität Leoben, Leoben, Austria
  • Andrea ŠVOB, University of Rijeka, Rijeka, Croatia
  • Csaba SZÁNTÓ, Babeş-Bolyai University, Cluj-Napoca, Romania
  • Jörg THUSWALDNER, Montanuniversität Leoben, Leoben, Austria
  • Zsolt TUZA, University of Pannonia, Veszprém, Hungary

Advisory Board

  • Szilárd RÉVÉSZ – Chair, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • Gabriella BÖHM
  • György GÁT, University of Debrecen, Debrecen, Hungary

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

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Mathematica Pannonica
Language English
Size A4
Year of
Foundation		 1990
Volumes
per Year		 1
Issues
per Year		 2
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)

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