Complementary inequalities involving the Stolarsky mean.
Displaying 41 – 60 of 144
Construction of aggregation operators: new composition method
Tomasa Calvo, Andrea Mesiarová, Ľubica Valášková (2003)
Kybernetika
A new construction method for aggregation operators based on a composition of aggregation operators is proposed. Several general properties of this construction method are recalled. Further, several special cases are discussed. It is also shown, that this construction generalizes a recently introduced twofold integral, which is exactly a composition of the Choquet and Sugeno integral by means of a min operator.
Continuously differentiable means.
Fujii, Jun Ichi, Fujii, Masatoshi, Miura, Takeshi, Takagi, Hiroyuki, Takahasi, Sin-Ei (2006)
Journal of Inequalities and Applications [electronic only]
Convex functions with respect to logarithmic mean and ѕandwich theorem
Zygfryd Kominek, T. Zgraja (1999)
Acta Universitatis Carolinae. Mathematica et Physica
Convex sets and inequalities.
Takahasi, Sin-Ei, Takahashi, Yasuji, Miyajima, Shizuo, Takagi, Hiroyuki (2005)
Journal of Inequalities and Applications [electronic only]
Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.
Baricz, Árpád (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Cyclic mean-value inequalities for the gamma function
Horst Alzer (2013)
Colloquium Mathematicae
Differences of weighted mixed symmetric means and related results.
Khan, Khuram Ali, Pečarić, J., Perić, I. (2010)
Journal of Inequalities and Applications [electronic only]
Distribution of terms of a logarithmic sequence.
Csiba, Péter, Filip, Ferdinánd, Tóth, János T. (2007)
Annales Mathematicae et Informaticae
Extending means of two variables to several variables.
Merikoski, Jorma K. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Fixed points and iterations of mean-type mappings
Janusz Matkowski (2012)
Open Mathematics
Let (X, d) be a metric space and T: X → X a continuous map. If the sequence (T n)n∈ℕ of iterates of T is pointwise convergent in X, then for any x ∈ X, the limit is a fixed point of T. The problem of determining the form of µT leads to the invariance equation µT ○ T = µT, which is difficult to solve in general if the set of fixed points of T is not a singleton. We consider this problem assuming that X = I p, where I is a real interval, p ≥ 2 a fixed positive integer and T is the mean-type mapping...
Generalization of integral inequalities for functions whose modulus of derivatives are convex.
Mir, Nazir Ahmad, Rafiq, Arif, Ahmad, Farooq (2006)
General Mathematics
Generalization of Stolarsky type means.
Pečarić, J., Roqia, G. (2010)
Journal of Inequalities and Applications [electronic only]
Generalizations of a class of inequalities for products.
Wu, Shanhe, Shi, Huannan (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Generalized abstracted mean values.
Qi, Feng (2000)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Generalized weighted quasi-arithmetic means and the Kolmogorov-Nagumo theorem
Janusz Matkowski (2013)
Colloquium Mathematicae
A generalization of the weighted quasi-arithmetic mean generated by continuous and increasing (decreasing) functions , k ≥ 2, denoted by , is considered. Some properties of , including “associativity” assumed in the Kolmogorov-Nagumo theorem, are shown. Convex and affine functions involving this type of means are considered. Invariance of a quasi-arithmetic mean with respect to a special mean-type mapping built of generalized means is applied in solving a functional equation. For a sequence of...
Improvement of an Ostrowski type inequality for monotonic mappings and its application for some special means.
Dragomir, S.S., Fang, M.L. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Inequalities for general integral means.
Toader, Gheorghe, Sándor, József (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Inequalities for generalized logarithmic means.
Chu, Yu-Ming, Xia, Wei-Feng (2009)
Journal of Inequalities and Applications [electronic only]
Inequalities for weighted power pseudo means.
Miheşan, Vasile (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]