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Isomorphisms and derivations in Lie $C^{*}$ -algebras.

Park, Choonkil, An, Jong Su, Cui, Jianlian (2007)

Abstract and Applied Analysis

Isomorphisms and generalized derivations in proper $C Q^{*}$ -algebras.

Park, Choonkil, Boo, Deok-Hoon (2011)

The Journal of Nonlinear Sciences and its Applications

Iterated oscillation criteria for delay dynamic equations of first order.

Bohner, M., Karpuz, B., Öcalan, Ö. (2008)

Advances in Difference Equations [electronic only]

Iterated oscillation criteria for delay partial difference equations

Başak Karpuz, Özkan Öcalan (2014)

Mathematica Bohemica

In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples,...

Iterated quasi-arithmetic mean-type mappings

Paweł Pasteczka (2016)

Colloquium Mathematicae

We work with a fixed N-tuple of quasi-arithmetic means $M ₁, . . ., M_{N}$ generated by an N-tuple of continuous monotone functions $f ₁, . . ., f_{N} : I \to ℝ$ (I an interval) satisfying certain regularity conditions. It is known [initially Gauss, later Gustin, Borwein, Toader, Lehmer, Schoenberg, Foster, Philips et al.] that the iterations of the mapping $I^{N} ∋ b \mapsto (M ₁ (b), . . ., M_{N} (b))$ tend pointwise to a mapping having values on the diagonal of $I^{N}$ . Each of [all equal] coordinates of the limit is a new mean, called the Gaussian product of the means $M ₁, . . ., M_{N}$ taken on b. We effectively...