The natural algorithmic approach of mixed trigonometric-polynomial problems
نویسندگان
چکیده
منابع مشابه
The natural algorithmic approach of mixed trigonometric-polynomial problems
The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities of the form [Formula: see text] by reducing them to polynomial inequalities. Finally, we show the great applicability of this algorithm and, as an example, we use it to analyze some new rational (Padé) approximations of the function cos2x and to improve a class of inequalities by Yang. Th...
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The Isomorphism of Polynomial (IP) [27], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C∗ scheme [26]. Besides, the security of various other schemes (e.g. signature, authentication [27], traitor tracing [5], etc. . . ) also depends on the practical hardness of IP. Due to its numerous applications, the Isomorphism of Polynomial ...
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The Isomorphism of Polynomials (IP) [28], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C∗ scheme [26]. Besides, the security of various other schemes (signature, authentication [28], traitor tracing [5], . . . ) also depends on the practical hardness of IP. Due to its numerous applications, the Isomorphism of Polynomials is thu...
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In many fields of science and engineering, it is needed to find all solutions of mixed trigonometric polynomial systems. Commonly, mixed trigonometric polynomial systems are transformed into polynomial systems by variable substitution and adding some quadratic equations, and then solved by some numerical methods. However, transformation of a mixed trigonometric polynomial system into a polynomi...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2017
ISSN: 1029-242X
DOI: 10.1186/s13660-017-1392-1