Carleman's inequality – history, proofs and some new generalizations.
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Displaying 1 – 20 of 31
Carlson type inequalities.
Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)
Journal of Inequalities and Applications [electronic only]
Cauchy means of the Popoviciu type.
Anwar, Matloob, Latif, Naveed, Pečarić, J. (2009)
Journal of Inequalities and Applications [electronic only]
Cauchy-Schwarz and Hölder's inequalities are equivalent.
Finol, Carlos, Wójtowicz, Marek (2007)
Divulgaciones Matemáticas
Čebyšev's inequality on time scales.
Yeh, Cheh-Chih, Wong, Fu-Hsiang, Li, Horng-Jaan (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Certain bounds for the differences of means.
Gao, Peng (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Certain classes of analytic functions involving Sălăgean operator.
Eker, S.Sümer, Owa, Shigeyoshi (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Certain inequalities for convex functions.
Popescu, P.G., Díaz-Barrero, José Luis (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Certain properties of generalized Orlicz spaces.
Jain, Pankaj, Upreti, Priti (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Characterization of convex functions
Jacek Tabor, Józef Tabor (2009)
Studia Mathematica
There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.
Chebyshev inequalities and self-dual cones.
Otachel, Zdzislaw (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Comments on some analytic inequalities.
Brnetić, Ilko, Pečarić, Josip (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Comparison and oscillation results for delay difference equations with oscillating coefficients.
Yan, Weiping, Yan, Jurang (1996)
International Journal of Mathematics and Mathematical Sciences
Comparison theorems of isoperimetric type for moments of compact sets.
F. G. Avkhadiev, I. R. Kayumov (2004)
Collectanea Mathematica
A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
Complements of Lyapunov's Inequality.
Christer Borell (1973)
Mathematische Annalen
Complements of Ostrowski type inequalities.
Kechriniotis, Aristides I. (2008)
Applied Mathematics E-Notes [electronic only]
Convergence and integrability for some classes of trigonometric series [Book]
Živorad Tomovski (2003)
Convex functions and inequalities for integrals.
Jiang, Zhenglu, Fu, Xiaoyong, Tian, Hongjiong (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Convex functions and the Hadamard inequality.
Azpeitia, Alfonso G. (1994)
Revista Colombiana de Matemáticas
Convex sets and inequalities.
Takahasi, Sin-Ei, Takahashi, Yasuji, Miyajima, Shizuo, Takagi, Hiroyuki (2005)
Journal of Inequalities and Applications [electronic only]
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