scholarly journals Refinements of Wilker–Huygens-Type Inequalities via Trigonometric Series

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1323
Author(s):  
Gabriel Bercu

The study of even functions is important from the symmetry theory point of view because their graphs are symmetrical to the Oy axis; therefore, it is essential to analyse the properties of even functions for x greater than 0. Since the functions involved in Wilker–Huygens-type inequalities are even, in our approach, we use cosine polynomials expansion method in order to provide new refinements of the above-mentioned inequalities.

1991 ◽  
Vol 56 (3) ◽  
pp. 505-559 ◽  
Author(s):  
Karel Eckschlager

In this review, analysis is treated as a process of gaining information on chemical composition, taking place in a stochastic system. A model of this system is outlined, and a survey of measures and methods of information theory is presented to an extent as useful for qualitative or identification, quantitative and trace analysis and multicomponent analysis. It is differentiated between information content of an analytical signal and information gain, or amount of information, obtained by the analysis, and their interrelation is demonstrated. Some notions of analytical chemistry are quantified from the information theory and system theory point of view; it is also demonstrated that the use of fuzzy set theory can be suitable. The review sums up the principal results of the series of 25 papers which have been published in this journal since 1971.


2007 ◽  
Vol 22 (29) ◽  
pp. 5237-5244 ◽  
Author(s):  
H. T. NIEH

Curvature and torsion are the two tensors characterizing a general Riemannian space–time. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affine connection identified to the Christoffel symbol, only the curvature tensor plays the central role. For such a purely metric geometry, two well-known topological invariants, namely the Euler class and the Pontryagin class, are useful in characterizing the topological properties of the space–time. From a gauge theory point of view, and especially in the presence of spin, torsion naturally comes into play, and the underlying space–time is no longer purely metric. We describe a torsional topological invariant, discovered in 1982, that has now found increasing usefulness in recent developments.


1978 ◽  
Vol 21 (2) ◽  
pp. 149-158 ◽  
Author(s):  
G. E. Cross

Several non-absolutely convergent integrals have been defined which generalize the Perron integral. The most significant of these integrals from the point of view of application to trigonometric series are the Pn- and pn-integrals of R. D. James [10] and [11]. The theorems relating the Pn -integral to trigonometric series state essentially that if the series1.1


2019 ◽  
Vol 21 ◽  
pp. 4
Author(s):  
P. G. Giannaka ◽  
T. S. Kosmas

Nuclear electron capture posses prominent position among other weak interaction processes occuring in explosive nucleosynthesis. In particular, this process plays important role in the core-colapse of massive stars by modifying the electron to baryon ratio Ye. From a nuclear theory point of view, such processes may be studied by using the same nuclear methods (e.g. the quasi-particle random phase approximation, QRPA), employed in the present work with these used for the one-body charge changing nuclear reactions (β-decay modes, charged-current electron-neutrino absorption by nuclei, etc). In this work we calculate e−-capture cross sections on 56Fe using two different approaches. At first, original cross section calculations are perfored by using the pn-QRPA method considering all the accessible transitions of the final nucleus 56Mn. Secondly, we evaluate the Gamow-Teller strength distributions and obtain the cross sections at the limit of zero-momentum transfer. The agreement between the two methods is very good.


2020 ◽  
Vol 1 (2) ◽  
pp. 83-90
Author(s):  
Rebi Fara Handika

Abstract   This paper discussed the company's motive to join a strategic alliance from the institutional theory point of view. The theory views that strategic alliances are considered as the medium to acquire legitimation from the environment. Such legitimation then improves the company’s competitive positions and performance. Further, we propose the framework to discuss the relationship between strategic alliances and a company’s performance. The paper proceeds as follows: in the next section, we discuss the institutional theory, the strategic alliance, and firm performance. Afterward, we develop the propositions and discuss the implications for future empirical research.   Abstrak   Artikel ini membahas motif perusahaan untuk bergabung dengan aliansi strategis dari sudut pandang teori institusional. Teori ini memandang bahwa aliansi strategis dianggap sebagai media untuk memperoleh legitimasi dari lingkungan. Legitimasi tersebut kemudian dipercayai akan meningkatkan posisi kompetitif dan kinerja perusahaan. Selanjutnya, kami mengusulkan framework untuk membahas hubungan antara aliansi strategis dan kinerja perusahaan. Artikel ini akan dilanjutkan sebagai berikut: pada bagian berikutnya, kita membahas teori institusional, aliansi strategis, dan kinerja perusahaan. Setelah itu, kami mengembangkan proposisi dan membahas implikasi untuk penelitian empiris di masa depan.


2009 ◽  
Vol 92 ◽  
pp. S217-S218
Author(s):  
F. Del Moral ◽  
A. Lopez Medina ◽  
J.A. Vazquez ◽  
J.J. Ferrero ◽  
A. Teijeiro ◽  
...  

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