Acceso abierto

Inequalities Of Lipschitz Type For Power Series In Banach Algebras


Cite

[1] Azpeitia A.G., Convex functions and the Hadamard inequality, Rev. Colombiana Mat. 28 (1994), no. 1, 7–12.Search in Google Scholar

[2] Bhatia R., Matrix analysis, Springer-Verlag, New York, 1997.10.1007/978-1-4612-0653-8Search in Google Scholar

[3] Cheung W.-S., Dragomir S.S., Vector norm inequalities for power series of operators in Hilbert spaces, Tbilisi Math. J. 7 (2014), no. 2, 21–34.Search in Google Scholar

[4] Dragomir S.S., Cho Y.J., Kim S.S., Inequalities of Hadamard’s type for Lipschitzian mappings and their applications, J. Math. Anal. Appl. 245 (2000), no. 2, 489–501.Search in Google Scholar

[5] Dragomir S.S., A mapping in connection to Hadamard’s inequalities, Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 128 (1991), 17–20.Search in Google Scholar

[6] Dragomir S.S., Two mappings in connection to Hadamard’s inequalities, J. Math. Anal. Appl. 167 (1992), 49–56.10.1016/0022-247X(92)90233-4Search in Google Scholar

[7] Dragomir S.S., On Hadamard’s inequalities for convex functions, Math. Balkanica 6 (1992), 215–222.Search in Google Scholar

[8] Dragomir S.S., An inequality improving the second Hermite–Hadamard inequality for convex functions defined on linear spaces and applications for semi-inner products, J. Inequal. Pure Appl. Math. 3 (2002), no. 3, Art. 35.Search in Google Scholar

[9] Dragomir S.S., Bounds for the normalized Jensen functional, Bull. Austral. Math. Soc. 74 (2006), 471–476.10.1017/S000497270004051XSearch in Google Scholar

[10] Dragomir S.S., Gomm I., Bounds for two mappings associated to the Hermite–Hadamard inequality, Aust. J. Math. Anal. Appl. 8 (2011), Art. 5, 9 pp.Search in Google Scholar

[11] Dragomir S.S., Gomm I., Some new bounds for two mappings related to the Hermite–Hadamard inequality for convex functions, Numer. Algebra Cont Optim. 2 (2012), no. 2, 271–278.Search in Google Scholar

[12] Dragomir S.S., Milośević D.S., Sándor J., On some refinements of Hadamard’s inequalities and applications, Univ. Belgrad, Publ. Elek. Fak. Sci. Math. 4 (1993), 21–24.Search in Google Scholar

[13] Dragomir S.S., Pearce C.E.M., Selected topics on Hermite–Hadamard inequalities and applications, RGMIA Monographs, 2000. Available at http://rgmia.org/monographs/hermite_hadamard.htmlSearch in Google Scholar

[14] Guessab A., Schmeisser G., Sharp integral inequalities of the Hermite-Hadamard type, J. Approx. Theory 115 (2002), no. 2, 260–288.Search in Google Scholar

[15] Kilianty E., Dragomir S.S., Hermite–Hadamard’s inequality and the p-HH-norm on the Cartesian product of two copies of a normed space, Math. Inequal. Appl. 13 (2010), no. 1, 1–32.Search in Google Scholar

[16] Matić M., Pečarić J., Note on inequalities of Hadamard’s type for Lipschitzian mappings, Tamkang J. Math. 32 (2001), no. 2, 127–130.Search in Google Scholar

[17] Merkle M., Remarks on Ostrowski’s and Hadamard’s inequality, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 10 (1999), 113–117.Search in Google Scholar

[18] Mikusiński J., The Bochner integral, Birkhäuser Verlag, Basel, 1978.10.1007/978-3-0348-5567-9Search in Google Scholar

[19] Pearce C.E.M., Rubinov A.M., P-functions, quasi-convex functions, and Hadamard type inequalities, J. Math. Anal. Appl. 240 (1999), no. 1, 92–104.Search in Google Scholar

[20] Pečarić J., Vukelić A., Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions, in: Functional equations, inequalities and applications, Kluwer Acad. Publ., Dordrecht, 2003, pp. 105–137.10.1007/978-94-017-0225-6_8Search in Google Scholar

[21] Toader G., Superadditivity and Hermite–Hadamard’s inequalities, Studia Univ. Babeş-Bolyai Math. 39 (1994), no. 2, 27–32.Search in Google Scholar

[22] Yang G.-S., Hong M.-C., A note on Hadamard’s inequality, Tamkang J. Math. 28 (1997), no. 1, 33–37.Search in Google Scholar

[23] Yang G.-S., Tseng K.-L., On certain integral inequalities related to Hermite–Hadamard inequalities, J. Math. Anal. Appl. 239 (1999), no. 1, 180–187.Search in Google Scholar

eISSN:
0860-2107
Idioma:
Inglés
Calendario de la edición:
2 veces al año
Temas de la revista:
Mathematics, General Mathematics