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Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (4)

We introduce various new type of recurrent sets for finitely generated semigroups on noncompact metric spaces that are conjugacy invariant, and obtain......

Equivalence theorem of D-optimal equal allocation design for multiresponse mixture experiments

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (4)

The equivalence theorem is the most important theorem of experimental design. For single response, the D-optimal equivalence theorem of the continuous......

On the sum of simultaneously proximinal sets

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (3)

In this paper, we show that the sum of a compact convex subset and a simultaneously 7-strongly proximinal convex subset (resp. simultaneously approxim......

Mean value theorem and semigroups of operators for interval-valued functions on time scales

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (1)

In this paper, a new version of mean value theorem for interval-valued functions on time scales is established. Meantime, some basic concepts and resu......

A note on Terai's conjecture concerning primitive Pythagorean triples

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (4)

Let f,g be positive integers such that f > g, gcd(f,g) =1 and f not equivalent to g (mod 2). In 1993, N. Terai conjectured that the equation x(2) +......

Existence of random attractors for strongly damped wave equations with multiplicative noise unbounded domain

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (2)

In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with stron......

Sharp upper bounds of A(alpha)-spectral radius of cacti with given pendant vertices

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (1)

For alpha is an element of [0, 1], let A(alpha) (G) = alpha D(G) + (1- alpha)A(G) be A(alpha)-matrix, where A(G) is the adjacent matrix and D(G) is th......

Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (3)

In previous papers, several T-0 and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to ......

New Wilker-type and Huygens-type inequalities

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (1)

In this paper, we first determine the relationships between the first Wilker's inequality, the second Wilker's inequality, the first Huygens inequalit......

Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (1)

In this note, we construct Rota-Baxter (coalgebras) bialgebras by (co-)quasi-idempotent elements and prove that every finite dimensional Hopf algebra ......

Novel classes of integers and their applications in graph labeling

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021; 50 (4)

Adding new classes of integers to literature is both challenging and charming. Until a new class is completely characterized, mathematics is never goi......

Convolutions of the bi-periodic Fibonacci numbers

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020; 49 (2)

Let q(n) be the bi-periodic Fibonacci numbers, defined by q(n) = c(n)q(n-1) + q(n-2) (n >= 2) with q(0) = 0 and q(1) = 1, where c(n) = a if n is ev......

Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020; 49 (2)

In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay term, where the heat conduction is given by Cattaneo's law effec......

A subclass of univalent functions associated with q-analogue of Choi-Saigo-Srivastava operator

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020; 49 (4)

The main objective of the present paper is to define a subclass Q(q)(lambda, mu, A, B) of analytic functions by using subordination along with the new......

Imputation-based semiparametric estimation for INAR(1) processes with missing data

期刊: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020; 49 (5)

In applied problems parameter estimation with missing data has risen as a hot topic. Imputation for ignorable incomplete data is one of the most popul......

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