Zobrazeno 1 - 10
of 765
pro vyhledávání: '"Proofs of trigonometric identities"'
Autor:
Mousa M. Khrajan, Alaa Adnan Auad
Publikováno v:
Journal of Education College Wasit University. 2:1411-1422
الغرض من هذا البحث هو عرض دراسة موجزة لمعرفة تخمين درجة افضل تقريب للدوال الغير مقيدة في الفضاء الموزون بواسطة متعددات الحدود المثلثية ذ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a3e06648a807d1115df5e7ed52504e8
https://doi.org/10.31185/eduj.vol2.iss25.2744
https://doi.org/10.31185/eduj.vol2.iss25.2744
Publikováno v:
The Ramanujan Journal. 49:1-37
We develop analogs of exponential and trigonometric functions (including the basic exponential function) and derive their fundamental properties: addition formula, positivity, reciprocal and fundamental relations of trigonometry. We also establish a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b36514b99c6f37a3fc24c6a637a3f78
https://doi.org/10.1007/s11139-018-0107-7
https://doi.org/10.1007/s11139-018-0107-7
Autor:
Mohamed El Bachraoui
Publikováno v:
Proceedings of the American Mathematical Society. 146:1619-1625
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94f61d250264e66ac70fe5e43ba4fdd0
https://doi.org/10.1090/proc/13830
https://doi.org/10.1090/proc/13830
Publikováno v:
International Journal of Applied and Computational Mathematics. 3:115-128
The generalized trigonometric functions (GTF) have been introduced using an appropriate redefinition of Euler type identities involving non-standard forms of imaginary numbers, realized by different types of matrices. In this paper we use the GTF to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b15bbd7f0af1fe4539404ba33660f9f0
https://doi.org/10.1007/s40819-017-0427-0
https://doi.org/10.1007/s40819-017-0427-0
Autor:
S. A. Pichugov
Publikováno v:
Ukrainian Mathematical Journal. 69:831-837
In the spaces LΨ [0, 2𝜋] with the metric $$ \rho \left(f,0\right)\varPsi =\frac{1}{2\pi }{\int}_0^{2\uppi}\varPsi \left(|f(x)|\right) dx $$ , where is a function of Ψ the modulus-of-continuity type, we investigate an analog of the Nikol’skii
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::715609a1e29cb9a9dd3e7eab65c930b1
https://doi.org/10.1007/s11253-017-1399-2
https://doi.org/10.1007/s11253-017-1399-2
Autor:
H. M. Vlasyk
Publikováno v:
Ukrainian Mathematical Journal. 69:173-185
We obtain the Bernstein–Nikol’skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24903f83a61b64f9af020c7f6771e6ad
https://doi.org/10.1007/s11253-017-1355-1
https://doi.org/10.1007/s11253-017-1355-1
Autor:
V. E. Petrov
Publikováno v:
Journal of Mathematical Sciences. 224:135-149
Some generalizations of the Fourier and Hartley transforms on ℝ and ℝ n are studied. These transforms involve functional coefficients. The Parseval identities, convolution formulas, conditions of self-adjointness and unitary property for new tran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0d6a56ab82a0b3fc37188a24a5cdd1f
https://doi.org/10.1007/s10958-017-3400-x
https://doi.org/10.1007/s10958-017-3400-x
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 101:1967-1975
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00e30513dafc47f09beadf5a2bf791ff
https://doi.org/10.17654/ms101091967
https://doi.org/10.17654/ms101091967
Autor:
Włodzimierz Fechner, Żywilla Fechner
Publikováno v:
Journal of Mathematical Analysis and Applications. 449:1160-1171
We deal with the following functional equation: f ( x y ) + λ f ( x ) f ( y ) = ϕ ( x , y ) , where λ is a complex number and f and ϕ are complex mappings defined on a semigroup. Moreover, we assume an addition formula of trigonometric type for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0980808a704a31cea30cf078c1c523e5
https://doi.org/10.1016/j.jmaa.2016.12.060
https://doi.org/10.1016/j.jmaa.2016.12.060
Autor:
Alexander N. Shchitov
Publikováno v:
International Journal of Advanced Research in Mathematics. 8:27-35
We find the sharp constant in the Jackson-type inequality between the value of the best approximation of functions by trigonometric polynomials and moduli of continuity of m-th order in the spaces Sp, 1 ≤ p < ∞. In the particular case we obtain o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6957280e7e13406b023ec9b00c1350b4
https://doi.org/10.18052/www.scipress.com/ijarm.8.27
https://doi.org/10.18052/www.scipress.com/ijarm.8.27