Results 11 to 20 of about 39,512 (228)

A simple alternative in approximation and asymptotic expansion by exponential/trigonometric functions

open access: yesPhysica Scripta, 2023
Function approximation plays a crucial role in applied mathematics and mathematical physics, involving tasks such as interpolation, extrapolation, and studying asymptotic properties.
S. Mironov
semanticscholar   +3 more sources

Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions [PDF]

open access: yesCubo (Temuco), 2019
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such as the exponential functions, with a focus on exp(−x2), the trigonometric functions (cosine and sine) and the hyperbolic functions (cosine and sine).
Yogesh J. Bagul, C. Chesneau
semanticscholar   +3 more sources

On exponential and trigonometric functions on nonuniform lattices

open access: yesThe Ramanujan Journal, 2019
On non-uniform lattices, the authors develop analogs of exponential and trigonometric functions (including the \(q\)-exponential function). They derive many fundamental properties of these functions, such as the addition formula, positivity, reciprocal and the fundamental trigonometric relations.
M. Kenfack Nangho   +2 more
semanticscholar   +5 more sources

Improved q-exponential and q-trigonometric functions [PDF]

open access: yesApplied Mathematics Letters, 2010
We propose a new definition of the q-exponential function. Our q-exponential function maps the imaginary axis into the unit circle and the resulting q-trigonometric functions are bounded and satisfy the Pythagorean identity.
J. Cieśliński
semanticscholar   +3 more sources

Analytical calculation of a class of integrals containing exponential and trigonometric functions [PDF]

open access: yesMathematics of Computation, 1983
It is shown how to evaluate analytically integrals from 0 to 2 π 2\pi of functions of the type f ( ϕ ) g ( ϕ ) exp ⁡ { G ( ϕ ) } f(\phi )\;g(\phi )\exp \{ G(\phi )\} , where g
V. Massidda
semanticscholar   +2 more sources

Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions

open access: yesJournal of Mathematical Inequalities, 2023
. As an interesting generalization involving the interval-valued convex functions, the interval-valued exponential trigonometric convex function is fi rstly introduced, and their meaningful properties are then investigated.
Taic un Zhou, T. Du
semanticscholar   +1 more source

Some New Properties of Exponential Trigonometric Convex Functions Using Up and Down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels

open access: yesFractal and Fractional, 2023
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan   +3 more
semanticscholar   +1 more source

“Addition” theorems for some $q$-exponential and $q$-trigonometric functions [PDF]

open access: yesMethods and Applications of Analysis, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Suslov
semanticscholar   +2 more sources

Relation of Some Known Functions in terms of Generalized Meijer G-Functions

open access: yesJournal 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
doaj   +1 more source

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

open access: yesAnnales Mathematicae Silesianae, 2023
Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J.   +3 more
doaj   +1 more source

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