Polynomial-Exponential Bounds for Some Trigonometric and Hyperbolic Functions [PDF]
Axioms, 2021 Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are appropriate for evaluating key trigonometric functions.
Yogesh J. Bagul +3 more
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Approximating trigonometric functions by using exponential inequalities [PDF]
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions [PDF]
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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A Study on Fractional Integral Inequalities for Trigonometric and Exponential Trigonometric-Convex Functions [PDF]
Journal of Basic & Applied SciencesInequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we establish these new identities for the case of twice differentiable functions and Caputo-Fabrizio ...
Huseyin Budak, Hasan Kara, Shumin Li
exaly +4 more sources
The Trigonometric-Exponential Functions
, 2022 In this article, we provide definition of the trigonometric-exponential function and it’s indentities and properties.
Kyumin Nam
core +4 more sources
Discrete complementary exponential and sine integral functions [PDF]
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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A Completeness Theorem for Trigonometric Identities and Various Results on Exponential Functions [PDF]
Proceedings of the American Mathematical Society, 1986 All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts. We also indicate how to decide whether
Lou van den Dries
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Graphs of q-exponentials and q-trigonometric functions [PDF]
, 2016 Here we will show the behavior of some of q-functions. In particular we plot the q-exponential and the q-trigonometric functions. Since these functions are not generally included as software routines, a Fortran program was necessary to give them.
Sparavigna, Amelia Carolina +1 more
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Parameter N Analysis on the Rational-Talbot Algorithm for Numerical Inversion of Laplace Transform
Vetor, 2021 This article investigates the numerical inversion of the Laplace Transform by the Rational-Talbot method and analyzes the influence on the variation of the free parameter N established by the technique when applied to certain functions.
Elisandra Freitas +4 more
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