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Transylvanian Journal Of Mathematics And Mechanics
ISSN: 2067-239X
ISSN(on-line): 2067-239X

Indexed in:
Mathematical Reviews
Zentralblatt MATH

Front cover
Front cover

Volume 3 (2011), Number 2

On Some New Fejér-type Inequalities for Co-ordinated Convex Functions

Author(s): M. A. LATIF, S. HUSSAIN AND S. S. DRAGOMIR

Abstract: In this paper some new mappings associated with the Fejér inequality for double integrals are defined and as a consequence some new Fejér type inequalities for co-ordinated convex functions are established as well.

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Inequalities of Ostrowski and Simpson Type for Mappings of Two Variables with Bounded Variation and Applications

Author(s): Y. JAWARNEH AND M.S.M. NOORANI

Abstract: In this paper two inequalities of Ostrowski type and Simpson type for mappings of two independent variables with bounded variation are established. General inequality of trapezoid type is obtained. Applications to some special means and to a quadrature formula are given.

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Generalized Type of Entire Monogenic Functions of Slow Growth

Author(s): SUSHEEL KUMAR AND KIRANDEEP BALA

Abstract: In the present paper we study the generalized growth of entire monogenic functions having slow growth. The characterizations of generalized type of entire monogenic functions have been obtained in terms of their Taylor’s series coefficients.

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On the Best Polynomial Approximation of Generalized Biaxisymmetric Potentials in L p-norm, p 1

Author(s): HUZOOR H. KHAN AND RIFAQAT ALI

Abstract: The real valued regular solution of generalized biaxially symmetric potential equation 2F x2 + 2Fy 2+ (2α+ 1)x Fx + ( 2β + 1 )yF y= 0 ,α > β >1 2 are called generalized biaxisymmetric potentials. In this paper, the characterization of lower order and lower type of entire GBASP F in term of their approximation error Enp (Fσ ) in Lp-norm, p 1 have been obtained. The analysis utilizes the Bergman and Gilbert Integral Operator Method to extend results from classical function theory on the best polynomial approximation of analytic functions of one complex variable.

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On q-Hahn’s Theorem: a q-extension

Author(s): L. KHÉRIJI AND P. MARONI

Abstract: We give a q-analogue of Hahn’s theorem and a q-extension for it; we show that an orthogonal polynomial sequence, whose m th associated sequence of k th q-derivative sequence is orthogonal, is necessarily a H q-classical one, where Hq is the q -difference operator.

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The Direct and the Inverse Problem for Simple Regression Models

Author(s): FELICIA ZĂVOIANU AND CONSTANTIN ZĂVOIANU

Abstract: This article contains a personal point of view regarding the implementation of simple regression models. We consider that the approach of considering in parallel both the direct and inverse problems helps in constructing a global, in depth, image regarding the usefulness of simple regression problems.

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Study of Improvement of Rotation Mechanism Ball of EsRc-1400 Rotor Excavator

Author(s): VILHELM ITU, IOSIF DUMITRESCU AND DUMITRU JULA

Abstract: The paper presents the study of the possibility of improvement of EsRc-1400 rotor excavator’s rotation mechanism ball.

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Verification by Analytical Calculus of the Winding Pulley Shaft of Lonea Mining Plant New Shaft with Skip

Author(s): IOSIF DUMITRESCU, VILHELM ITU AND MIHAI CARMELO RIDZI

Abstract: The pulley mounted in the tower at the winding installation with the entailing part of the winding cable on the soil, are winding pulleys. The winding pulleys are auxiliary installation devices with the role of supporting and guiding the winding cable on the vertical symmetry axis of the winding shaft. The pulley unit is made up of the pulley shaft and its bearings by which the unit is fixed to the winding tower structure, the mobile pulley and fixed pulley are mounted to the pulley shaft. The paper presents the verification calculus of the Lonea type winding shaft pulley for Lonea Mining Plant with new skip with analytical method.

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