Abstract: We prove in this note that the ring of endomorphisms of an infinite
bounded Abelian group admits a nondiscrete right bounded ring
topology. We give an example of an Abelian group whose ring of
endomorphisms admits both nondiscrete left and right bounded
topologies but does not admit a nondiscrete bounded ring topology.
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No. of downloads: 150

Attestation of assumptions about random error of the regression model

Author: Miriam Andrejiova

Abstract: The article deals with the regression model of functional dependency
on impact force from height of falling and weight of ram for
selected conveyor belt. Main part of the article is devoted to the
analysis of random error, mainly verifying the conditions of
independence, normality and homoscedasticity of residuals.
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No. of downloads: 144

A topological structure on the basins of attraction for iterative methods

Author: Gheorghe Ardelean

Abstract: In a previous paper we investigated the \emph{left topology}
associated to a quasiorder relation (a reflexive and transitive
binary relation) on a set. In this work we introduce a topological
structure on the basins of attraction of some iterative methods for
solving nonlinear equations. Some results obtained in our
investigations are presented.
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No. of downloads: 153

Mathieu's theorem in the Poincare disc model of hyperbolic geometry

Author: Cătălin Barbu

Abstract: In this note, we present a proof of Mathieu's hyperbolic theorem in the
Poincare disc model of hyperbolic geometry.
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No. of downloads: 146

About approximation of $B$-continuous functions of several variables by generalized Boolean sum operators of Bernstein type on a simplex

Author: Irina Bârsan / Petru Braica / Mircea Fărcaș

Abstract: Upper and lower bounds for the generalized LupaÈ™ functional of n-convex (n-concave) functions are given.
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No. of downloads: 148

Two elementary applications of some Presic type fixed point theorems

Author: Vasile Berinde / Mădălina Păcurar

Abstract: We introduce and illustrate by suitable examples the use of a unified fixed point method for studying the convergence of nonlinear recurrence sequences and for solving cyclic nonlinear systems of equations. Our technique is essentially based on some Presic type fixed point theorems.
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No. of downloads: 161

Approximations to the constant e

Author: Chao-Ping Chen / Mihaly Bencze

Abstract: The main object of this paper is to present new sequences approximating the constant e, which converge faster towards the
constant e.
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No. of downloads: 147

On AC_I-sets, BC_I-sets, \beta _{I}^{\ast }-open sets and decompositions of continuity in ideal topological spaces

The Voronovskaja theorem for some linear positive operators defined by infinite sum

Author: Dan Miclăuș / Ovidiu T. Pop

Abstract: The main goal of this paper is to establish a Voronovskaja type
theorem for the Szasz-Mirakjan-Schurer operators. As a
particular case, we get also the Voronovskaja type theorem for the
well known Mirakjan-Favard-Szasz operators.
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No. of downloads: 152

Integral inequalities via several kinds of convexity

Author: M. Emin Ozdemir / Erhan Set / Mohammad Alomari

Abstract: Several integral inequalities via some kinds of convexity are obtained.
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No. of downloads: 160

A note on the geometry of three circles

Author: R. Pacheco / F. Pinheiro / R. Portugal

Abstract: In the present note, we deduce some nice results
concerning the geometry of three-circles from an easy incidence
lemma in plane projective geometry. By particularizing to the case
of the three excircles of a triangle, this lemma provides a
unified geometric characterization of many interesting Kimberling
centers.
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No. of downloads: 136

The Pythagorean theorem and area formula for triangles on the plane with generalized absolute value metric

Author: Gokhan Soydan / Yusuf Dogru / N. Umut Arslandogan

Abstract: In this paper, we first give the Pythagorean theorem on the plane with
generalized absolute value metric and show that the converse of the
Pythagorean theorem is not true in this plane. Secondly, we give necessary and
sufficient conditions for a triangle in this plane to have a right angle.
Finally, we give a formula for the area of a triangle on this plane.
PDF |

No. of downloads: 157

On several new Qi's inequalities

Author: Yin Li

Abstract: In this paper, we give a simple proof of Qi's
inequality and a negative answer to an open problem.
PDF |

No. of downloads: 138

On Edwards--Child's inequality

Author: Yu-Dong Wu / Zhi-Hua Zhang / Zhi-Gang Wang