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LINEAR n-COMMUTING MAPS ON INCIDENCE ALGEBRAS

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (2)

Let n be a positive integer and R be a 2 and n!-torsion free commutative ring with unity. Let X be a locally finite pre-ordered set. If any two direct......

MULTIPLE SPECTRA OF SELF-SIMILAR MEASURES WITH THREE DIGITS ON R

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (1)

Let q >= 3 be a positive integer, and let D = {0,a,b} with gcd(a, b) = 1. For the self-similar measure mu(q,D) which is generated by the iterated f......

THE RIEMANN SURFACE OF THE r-LAMBERT FUNCTION

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (2)

The r-Lambert function is a generalization of the classical Lambert W function which has proven to be useful in physics and other disciplines. In this......

THE BOUNDEDNESS OF BILINEAR FOURIER MULTIPLIER OPERATORS IN BESOV SPACES WITH VARIABLE EXPONENTS

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (2)

Using the Littlewood-Paley decomposition technique, Fourier transform and inverse Fourier transform, the boundedness of bilinear Fourier multiplier op......

ON THE DISTRIBUTION OF THE TRUNCATED SUM-OF-DIGITS FUNCTION OF POLYNOMIAL SEQUENCES IN RESIDUE CLASSES

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (2)

Let q >= 2 be an integer and let s(q)(n) be the sum-of-digits function in base q of the positive integer n. In this paper we obtain asymptotic form......

GATEAUX DIFFERENTIABILITY AND UNIFORM MONOTONE APPROXIMATION OF CONVEX FUNCTIONS IN BANACH SPACES

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 164 (1)

We prove that if X* is strictly convex, a convex function f is coercive and b-Lipschitzian iff there exist two convex function sequences {f(n)}(n=1)(i......

Some properties and interpolation theorems in weak Orlicz-Lorentz spaces

期刊: ACTA MATHEMATICA HUNGARICA, ; ()

This paper is devoted to the studying of the weak Orlicz-Lorentz space Lambda(phi,infinity.)(X) (w), which can be regarded as an extension of weak Orl......

ON A KIND OF SELF-SIMILAR SETS WITH COMPLETE OVERLAPS

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 163 (2)

Let E be the self-similar set generated by the iterated function system f(0)(x) = x/beta, f1(x) = x + 1/beta, f(beta+1) = x + beta + 1/beta with beta ......

SQUARE ITERATIVE ROOTS OF GENERALIZED WEIGHTED QUASI-ARITHMETIC MEAN-TYPE MAPPINGS

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 163 (1)

We determine all pairs (A(f,g), A(g,h)) of generalized weighted quasiarithmetic means being square iterative roots of (A(F,G), A(G,H)), that is, the e......

THE INFLUENCE OF IC Phi-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 163 (1)

A subgroup H of a group G is called an IC Phi-subgroup of G if H[H,G]<=Phi(H). We investigate the structure of a finite group G under the assumptio......

On Weakly P-Ehresmann Semigroups

期刊: ACTA MATHEMATICA HUNGARICA, 2021; 163 (2)

As generalizations of Ehresmann semigroups, P-Ehresmann semigroups were firstly introduced and investigated by Jones [12]. From a varietal perspective......

Special forms and the distribution of practical numbers

期刊: ACTA MATHEMATICA HUNGARICA, 2020; 160 (2)

A positive integer n is called practical if every positive integer m <= n can be written as a sum of distinct divisors of n. For any integers a,b,k......

A sharp upper bound for the sum of reciprocals of least common multiples

期刊: ACTA MATHEMATICA HUNGARICA, 2020; 160 (2)

Let nand k\ be positive integers such that n >= k+1and let {ai}i=1n be an arbitrary given strictly increasing sequence of positive integers. Let Sn......

Positive operators on extended second order cones

期刊: ACTA MATHEMATICA HUNGARICA, 2020; 160 (2)

A positive operator on a cone is a linear operator that maps the cone to a subcone of itself. The extended second order cones were introduced by Nemet......

On the p-adic properties of Stirling numbers of the first kind

期刊: ACTA MATHEMATICA HUNGARICA, 2020; 161 (1)

Let n, k and a be positive integers. The Stirling numbers of the first kind, denoted by s(n, k), count the number of permutations of n elements with k......

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