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Ostrowski and Simpson type inequalities for multiplicative integrals

  • Ali, Muhammad Aamir [1] ; Budak, Hüseyin [2] ; Sarikaya, Mehmet Zeki [2] ; Zhang, Zhiyue [1]
    1. [1] Nanjing Normal University

      Nanjing Normal University

      China

    2. [2] Duzce University

      Duzce University

      Turquía

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 3, 2021 (Ejemplar dedicado a: In progress (June 2021). This issue is in progress. Contains articles that are final and fully citable.), págs. 743-763
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-4136
  • Enlaces
  • Resumen
    • In this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, we establish Ostrowski and Simpson type inequalities for multiplicative integrals. At the end we give detail applications of our main results.

  • Referencias bibliográficas
    • M. A. Ali, M. Abbas, H. Budak, and A. Kashuri, “Some new Hermite-Hadamard inequalities in multiplicative calculus”, TWMS Journal of applied...
    • M. A. Ali, M. Abbas, Z. Zhang, I. B. Sial, and R. Arif, “On integral inequalities for product and quotient of two multiplicatively convex...
    • M. W. Alomari, M. Darus, S. S. Dragomir, and P. Cerone, “Ostrowski type inequalities for functions whose derivatives are s-convex in the second...
    • M. W. Alomari, M. E. Özdemir, and H. Kavurmac, “On companion of Ostrowski inequality for mappings whose first derivatives absolute value are...
    • M. W. Alomari and M. Darus, “Some Ostrowski’s type inequalities for convex functions with application”, RGMIA research report collection,...
    • M. W. Alomari, M. Darus, and S. S. Dragomir, “New inequalities of Simpson’s type for sconvex functions with applications”, RGMIA research...
    • N. S. Barnett and S. S. Dragomir, “An Ostrowski type inequality for double integrals and applications for cubature formulae”, Soochow journal...
    • A. E. Bashirov, E. M. Kurpınar, and A. Özyapıcı, “Multiplicative calculus and its applications”, Journal of mathematical analysis and applications,...
    • P. Cerone and S. S. Dragomir, “Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions”, Demonstratio...
    • S. S. Dragomir,”Ostrowski type inequalities for functions whose derivatives are h-convex in absolute value”, Tbilisi mathematical journal,...
    • S. S. Dragomir, R. P. Agarwal, and P. Cerone, “On Simpson’s inequality and applications”, Journal of inequalities and applications, vol. 5,...
    • S. S. Dragomir, “On Simpson’s quadrature formula for differentiable mappings whose derivatives belong to lp spaces and applications”, Journal...
    • S. S. Dragomir, “On Simpson’s quadrature formula for Lipschitzian mappings and applications”, Soochow journal of mathematics, vol. 25, pp....
    • S. Hussain and S. Qaisar, “More results on Simpson’s type inequality through convexity for twice differentiable continuous mappings”, SpringerPlus,...
    • Z. Liu, “An inequality of Simpson type”, Proceedings - Royal Society. Mathematical, physical and engineering sciences, vol. 461, no. 2059,...
    • G. V. Milovanović, “On some integral inequalities”, Publikacije Elektrotehničkog fakulteta Univerziteta u Beogradu. Serija Matematika i fizika,...
    • G. V. Milovanović and J. E. Pečarić, “On generalization of the inequality of A. Ostrowski and some related applications”, Publikacije Elektrotehničkog...
    • M. A. Noor and M. U. Awan, “Some integral inequalities for two kinds of convexities via fractional integrals”, Transylvanian journal of mathematics...
    • A. M. Ostrowski, “Über die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert”, Commentarii Mathematici Helvetici,...
    • S. Özcan, “Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions”, AIMS mathematics, vol. 5, no. 22,...
    • M. E. Özdemir, H. Kavurmacı, and M. Avcı, “Ostrowski type inequalities for convex functions”, Tamkang journal of mathematics, vol. 45, no....
    • M. E. Özdemir, A. O. Akdemir, and H. Kavurmacı, “On the Simpson’s inequality for convex functions on the co-ordinates”, Turkish journal of...
    • J. Pecaric and S. Varosanec, “A note on Simpson’s inequality for functions of bounded variation”, Tamkang journal of mathematics, vol. 31,...
    • M. Z. Sarikaya, “On the Ostrowski type integral inequality”, Acta Mathematica Universitatis Comenianae, vol. 79, no. 1, pp. 129-134, 2010....
    • M. Z. Sarikaya, “On the Ostrowski type integral inequality for double integrals”, Demonstratio mathematica, vol. 45, no. 3, 2012, doi: 10.1515/dema-2013-0398
    • M. Z. Sarikaya and H. Ogunmez, “On the weighted Ostrowski type integral inequality for double integrals”, Arabian journal for science and...
    • M. Z. Sarikaya, E. Set and M. E. Ozdemir, “On new inequalities of Simpson’s type for convex functions”, RGMIA research report collection,...
    • M. Z. Sarikaya, E. Set, M. E. Özdemir, “On new inequalities of Simpson’s type for s-convex functions”, Computers and mathematics with applications,...
    • M. Z. Sarikaya, E. Set, and M. E. Özdemir, “On new inequalities of Simpson’s type for functions whose second derivatives absolute values are...
    • M. Z. Sarikaya, T. Tunç, and H. Budak, “Simpson’s type inequality for F- convex function”, Facta Universitatis. Series mathematics and informatics,...
    • E. Set, M. E. Özdemir, and M. Z. Sarikaya, “On new inequalities of Simpson’s type for quasi-convex functions with applications”, Tamkang journal...
    • E. Set, M. Z. Sarikaya, and N. Uygun, “On new inequalities of Simpson’s type for generalized quasi-convex functions”, Advances in inequalities...
    • K. L. Tseng, G. S. Yang, and S.S. Dragomir, “On weighted Simpson type inequalities and applications”, Journal of mathematical inequalities,...
    • N. Ujevicć, “Double integral inequalities of Simpson type and applications”, Journal of applied mathematics and computations, vol. 14, no....

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