Results 21 to 30 of about 10,331,496 (319)

GeoGebra and students’ learning achievement in trigonometric functions graphs representations and interpretations

open access: yesCypriot Journal of Educational Sciences, 2021
Making connections between the representations of trigonometric functions and an interpretation of graphs of the functions are major challenges to many students.
N. Mosese, U. Ogbonnaya
semanticscholar   +1 more source

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva   +3 more
doaj   +3 more sources

On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions

open access: yesJournal 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
doaj   +1 more source

Extended Prudnikov sum

open access: yesAIMS Mathematics, 2022
A Prudnikov sum is extended to derive the finite sum of the Hurwitz-Lerch Zeta function in terms of the Hurwitz-Lerch Zeta function. This formula is then used to evaluate a number trigonometric sums and products in terms of other trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Applications of generalized trigonometric functions with two parameters [PDF]

open access: yesCommunications on Pure and Applied Analysis, 2019
Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the \begin{document}$p$\end{document} -Laplacian, which is known as a typical nonlinear differential operator, and ...
Hiroyuki Kobayashi, S. Takeuchi
semanticscholar   +1 more source

An elementary treatise on elliptic functions as trigonometry

open access: yesAlifmatika, 2023
This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment of elliptic functions presented herein adheres to a structure analogous to the traditional exposition of trigonometric functions, with the ...
Laith H. M. Al-ossmi
doaj   +1 more source

Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions

open access: yesJournal of Mathematical Inequalities, 2020
In this paper, we prove Wilker and Huygens type inequalities for inverse trigonometric functions. This solves two conjectures proposed by Chao-Ping Chen. Also, we present new sharp Wilker and Huygens type inequalities for trigonometric functions.
Bo Zhang, Chao Chen
semanticscholar   +1 more source

High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]

open access: yesJisuanji kexue, 2021
As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
doaj   +1 more source

Approximation on the regular hexagon

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
doaj   +7 more sources

Properties of generalized univariate hypergeometric functions [PDF]

open access: yes, 2006
Based on Spiridonov's analysis of elliptic generalizations of the Gauss hypergeometric function, we develop a common framework for 7-parameter families of generalized elliptic, hyperbolic and trigonometric univariate hypergeometric functions.
B. Nassrallah   +27 more
core   +4 more sources

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