[PDF] Top 20 Currículo, formação e trabalho docente na educação profissional de jovens e adultos

... two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine ... See full document

... These inequalities were of great interest throughout the research, since they were ex- tended in different forms in the recent ...therein. Some of the recent improvements are nice through their symmetric ... See full document

... involving trigonometric and inverse trigonometric functions play an impor- tant role and have many applications in science and engineering [2, 8, 12, 17–19, ... See full document

... The study of Jordan’s and Kober’s inequality and inequalities of trigonometric functions has a rich literature, for example, [1, 2, 4, 6, 7, 8, 9, 10, 11] and references therein. There are many ... See full document

... years inequalities involving trigonometric and hyperbolic inequalities have attracted attention of several ...Wilker inequalities for trigonometric and hyperbolic func- tions have been ... See full document

... 11. Carlson, BC: Algorithms involving arithmetic and geometric means. Am. Math. Mon. 78, 496-505 (1971) 12. Neuman, E: On Gauss lemniscate functions and lemniscatic mean. Math. Pannon. 18, 77-94 (2007) 13. Neuman, ... See full document

... new inequalities and improv- ing certain ...establish some Padé approximants for arcsin x and arctan ...improve some remarkable inequalities involving inverse trigonometric ... See full document

... type inequalities (1) and (2) have attracted much interest of many mathemati- cians and have motivated a large number of research papers involving different proofs and various generalizations and improvements ... See full document

... involving trigonometric functions are used in many applications in various fields of mathematics such as difference equations and inequalities [1], theory of stability, theory of approximations, ... See full document

... provided some techniques to solve some integral ...[30]used some methods, for example, complex power series method, integration term by term theorem, Parseval’s theorem, and generalized Cauchy ... See full document

... Scientific and graphics calculators can both be used to find trigonometric ratios of angles expressed in degrees or radians. It is important to check that the calculator is in the correct mode for the angle measure ... See full document

... for α and β ∈ R , where ψ (x) is the psi function. Consequently, this yields not only some new inequalities for the polygamma functions, but also new star-shaped and superadditive functions ... See full document

... t1 − ν ν − 1/2 < 0 which is satisfied for all t > 1/2 − ν/1 − ν when ν > 1. We report here some numerical experiments, computed by using mathematica. Example 3.2. In the first case we assume ν 8. In ... See full document

... In this paper, we present some sharp inequalities for the ratio of gamma functions. The main tool is the multiple-correction method formulated in (Cao et al. in J. Number Theory 149:327-350, 2015; ... See full document

... for x ∈ I and k ∈ N , where f (0) (x) means f (x) and N stands for the set of all positive integers. See [14, Chapter XIII], [31, Chapter 1], or [33, Chapter IV]. The class of completely monotonic functions may be ... See full document

... many functions which are not one-one, onto or both and hence we can not talk of their ...that trigonometric functions are not one-one and onto over their natural domains and ranges and hence their ... See full document

... finite trigonometric sums is ...considered trigonometric sums, and permits us to find sharp inequalities bounding these trigonometric ... See full document

... presents some applicable methods of approximating basic trigonometric functions and their inverse ...of some domain values within a domain of function forms an arithmetic progression, then the ... See full document

... where x, y ∈ J and λ ∈ [, ]; see []. Many properties of P-class functions can be found in [–]. Note that the set of all P-class functions contains all convex functions and also all nonnegative ... See full document

... exponential functions exp ( ) x and exp ( ) − x called hyperbolic ...These functions which arise in various engineering applications, have many properties in common with the trigonometric func- ... See full document