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

