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2018 | 32 | 145--168
Tytuł artykułu

Inequalities of Hermite-Hadamard Type for GA-Convex Functions

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Some inequalities of Hermite-Hadamard type for GA-convex functions defined on positive intervals are given. (original abstract)
Rocznik
Tom
32
Strony
145--168
Opis fizyczny
Twórcy
  • Victoria University, Australia
Bibliografia
  • Anderson G.D., Vamanamurthy M.K., Vuorinen M., Generalized convexity and inequalities, J. Math. Anal. Appl. 335 (2007), no. 2, 1294-1308.
  • Beckenbach E.F., Convex functions, Bull. Amer. Math. Soc. 54 (1948), no. 5, 439-460.
  • Bombardelli M., Varošanec S., Properties of h-convex functions related to the Hermite-Hadamard-Fejér inequalities, Comput. Math. Appl. 58 (2009), no. 9, 1869-1877.
  • Cristescu G., Hadamard type inequalities for convolution of h-convex functions, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 8 (2010), 3-11.
  • Dragomir S.S., An inequality improving the first Hermite-Hadamard inequality for convex functions defined on linear spaces and applications for semi-inner products, JIPAM. J. Inequal. Pure Appl. Math. 3 (2002), no. 2, Article 31, 8 pp.
  • Dragomir S.S., An inequality improving the second Hermite-Hadamard inequality for convex functions defined on linear spaces and applications for semi-inner products, JIPAM. J. Inequal. Pure Appl. Math. 3 (2002), no. 3, Article 35, 8 pp.
  • Dragomir S.S., An Ostrowski like inequality for convex functions and applications, Rev. Math. Complut. 16 (2003), no. 2, 373-382.
  • Dragomir S.S., Fitzpatrick S., The Hadamard inequalities for s-convex functions in the second sense, Demonstratio Math. 32 (1999), no. 4, 687-696.
  • Dragomir S.S., Fitzpatrick S., The Jensen inequality for s-Breckner convex functions in linear spaces, Demonstratio Math. 33 (2000), no. 1, 43-49.
  • Dragomir S.S., Mond B., On Hadamard's inequality for a class of functions of Godunova and Levin, Indian J. Math. 39 (1997), no. 1, 1-9.
  • Dragomir S.S., Pearce C.E.M., On Jensen's inequality for a class of functions of Godunova and Levin, Period. Math. Hungar. 33 (1996), no. 2, 93-100.
  • Dragomir S.S., Pearce C.E.M., Quasi-convex functions and Hadamard's inequality, Bull. Austral. Math. Soc. 57 (1998), no. 3, 377-385.
  • Dragomir S.S., Pecaric J., Persson L.E., Some inequalities of Hadamard type, Soochow J. Math. 21 (1995), no. 3, 335-341.
  • Dragomir S.S., Rassias Th.M. (eds.), Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publisher, Dordrecht, 2002.
  • Godunova E.K., Levin V.I., Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions, Numerical mathematics and mathematical physics, 138-142, 166, Moskov. Gos. Ped. Inst., Moscow, 1985 (in Russian).
  • Noor M.A., Noor K.I., Awan M.U., Some inequalities for geometrically-arithmetically h-convex functions, Creat. Math. Inform. 23 (2014), no. 1, 91-98.
  • Zhang X.-M., Chu Y.-M., Zhang X.-H., The Hermite-Hadamard type inequality of GAconvex functions and its application, J. Inequal. Appl. 2010, Art. ID 507560, 11 pp.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171605851

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