PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2018 | 32 | 133--144
Tytuł artykułu

Refinements of the Hermite-Hadamard Inequality in NPC Global Spaces

Autorzy
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we establish different refinements and applications of the Hermite-Hadamard inequality for convex functions in the context of NPC global spaces. (original abstract)
Rocznik
Tom
32
Strony
133--144
Opis fizyczny
Twórcy
  • National University of General Sarmiento, Argentina
Bibliografia
  • Abramovich S., Baric J., Pecaric J., Fejer and Hermite-Hadamard type inequalities for superquadratic functions, J. Math. Anal. Appl. 344 (2008), no. 2, 1048-1056.
  • Barnett N.S., Cerone P., Dragomir S.S., Some new inequalities for Hermite-Hadamard divergence in information theory, Stochastic analysis and applications Vol. 3, 7-19, Nova Sci. Publ., Hauppauge, New York, 2003.
  • Bessenyei M., Hermite-Hadamard-type inequalities for generalized convex functions, J. Inequal. Pure Appl. Math. 9 (2008), no. 3, Art. 63, 51 pp.
  • Bhatia R., The logarithmic mean, Resonance 13 (2008), no. 6, 583-594.
  • Carlson B.C., The logarithmic mean, Amer. Math. Monthly 79 (1972), no. 6, 615-618.
  • Cerone P., Dragomir S.S., Mathematical inequalities. A perspective, CRC Press, Boca Raton, 2011.
  • Conde C., A version of the Hermite-Hadamard inequality in a nonpositive curvature space, Banach J. Math. Anal. 6 (2012), no. 2, 159-167.
  • Dragomir S.S., Bounds for the normalised Jensen functional, Bull. Austral. Math. Soc. 74 (2006), no. 3, 471-478.
  • Dragomir S.S., Hermite-Hadamard's type inequalities for operator convex functions, Appl. Math. Comput. 218 (2011), no. 3, 766-772.
  • Dragomir S.S., Pearce C.E.M., Selected Topics on Hermite-Hadamard Inequalities, RGMIA Monographs, Victoria University, 2000. Available at http://rgmia.vu.edu.au/monographs/hermite_hadamard.html
  • El Farissi A., Simple proof and refinement of Hermite-Hadamard inequality. J. Math. Inequal. 4 (2010), no. 3, 365-369.
  • Hadamard J., Étude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann (French), J. Math. Pures et Appl. 58 (1893), 171- 215.
  • Házy A., Páles Z., On a certain stability of the Hermite-Hadamard inequality, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465 (2009), no. 2102, 571-583.
  • Jost J., Nonpositive curvature: geometric and analytic aspects, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, 1997.
  • Kikianty E., Hermite-Hadamard inequality in the geometry of Banach spaces, PhD thesis, Victoria University, 2010. Available at eprints.vu.edu.au/15793/1/EderKikiantyThesis.pdf.
  • Klaricic M., Neuman E., Pecaric J., Šimic V., Hermite-Hadamard's inequalities for multivariate g-convex functions, Math. Inequal. Appl. 8 (2005), no. 2, 305-316.
  • Lang S., Fundamentals of differential geometry, Graduate Texts in Mathematics, Springer-Verlag, New York, 1999.
  • Leach E.B., Sholander M.C., Extended mean values. II, J. Math. Anal. Appl. 92 (1983), no. 1, 207-223.
  • Mihailescu M., Niculescu C.P., An extension of the Hermite-Hadamard inequality through subharmonic functions, Glasg. Math. J. 49 (2007), no. 3, 509-514.
  • Mitroi F.-C., About the precision in Jensen-Steffensen inequality, An. Univ. Craiova Ser. Mat. Inform. 37 (2010), no. 4, 73-84.
  • Niculescu C.P., Persson L.-E., Convex functions and their applications. A contemporary approach, Springer, New York, 2006.
  • Wu S., On the weighted generalization of the Hermite-Hadamard inequality and its applications, Rocky Mountain J. Math. 39 (2009), no. 5, 1741-1749.
  • Zabandan G., A new refinement of the Hermite-Hadamard inequality for convex functions, J. Inequal. Pure Appl. Math. 10 (2009), no. 2, Art. 45, 7 pp.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171605655

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.