# Ternary expansions of powers of 2

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We prove Harnack's inequality for general solutions of elliptic equations -divA(x, u;âˆ‡u) = B(x, u,âˆ‡u), where A and B satisfy natural structural conditions with respect to a variable growth exponent p(x). The proof is based on a modification of the Caccioppoli inequality, which...

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In this paper, we introduce an iterative process which converges strongly to a common element of fixed points of pseudo-contractive mapping and solutions of variational inequality problem for monotone mapping. As a consequence, we provide an iteration scheme which converges strongly to a common...

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A new, nonclassical convergence acceleration concept, called ï¿½-acceleration of convergence (where ï¿½ is a positive monotonically increasing sequence), is introduced and compared with the classical convergence acceleration concept. Regular matrix methods are used to accelerate the...

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Let { X; n â‰¥ 1} be a sequence of independent and identically distributed random vectors in â„œ with Euclidean norm |Â·|, and let X = X if | X| is the r-th maximum of {| X|; k â‰¤ n}. Define S = Î£ X and S âˆ’ ( X + ... + X). In this paper a generalized strong invariance...

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We apply set-theoretical ideas to an iteration problem of dynamical systems. Among other results, we prove that these iterations never stabilise later than the first uncountable ordinal; for every countable ordinal we give examples in Baire space and in Cantor space of an iteration that...

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In [1-3] some analytical properties were investigated of the Von Koch curve Î“, Î¸ âˆˆ $(0,\tfrac{\pi } {4}) $ . In particular, it was shown that Î“ is quasiconformal and not AC-removable. The natural question arises: Can one find a quasiconformal and not AC-removable curve...

- A Generalization of Suzuki's Lemma. Panyanak, B.; Cuntavepanit, A. // Abstract & Applied Analysis;2011, Special section p1
Let {Zn}, {Wn}, and {Vn} be bounded sequences in a metric space of hyperbolic type (X, d), and let {Î±n} be a sequence in [0, 1] with 0 < lim infnÎ±n â‰¤ lim supnÎ±n < 1. If Zn+1 = Î±nWn âŠ• (1 - Î±n)Vn for all n âˆˆ â„•, limnd(Zn, Vn) = 0, and lim supn(d(wn+1,Wn) -...

- Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings. De la Sen, M. // Journal of Applied Mathematics;2013, p1
This paper is devoted to investigating the limit properties of distances and the existence and uniqueness of fixed points, best proximity points and existence, and uniqueness of limit cycles, to which the iterated sequences converge, of single-valued, and socalled, contractive precyclic...

- COMPLEX OSCILLATION OF DIFFERENTIAL POLYNOMIALS GENERATED BY MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS. Belaïdi, Benharrat // Publications de l'Institut Mathematique;2011, Vol. 90 Issue 104, p125
We investigate the complex oscillation of some differential polynomials generated by solutions of the differential equation f" + A1(z)f' + A0(z)f = 0, where A1(z), A0(z) are meromorphic functions having the same finite iterated p-order.