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About some exponential inequalities related to the sinc function
Marija Rašajski1, Tatjana Lutovac1, Branko Malešević1
1School of Electrical Engineering, University of Belgrade, Belgrade, Serbia.
Journal of Inequalities and Applications
|August 24, 2018
Summary
This study proves new exponential inequalities for the sinc function. These findings establish mathematical bounds and intervals for these important functions.
Area of Science:
- Mathematical Analysis
- Function Theory
Background:
- The sinc function is crucial in signal processing and Fourier analysis.
- Exponential inequalities are fundamental in various mathematical disciplines.
Purpose of the Study:
- To establish novel exponential inequalities involving the sinc function.
- To analyze inequalities with both constant and polynomial exponents.
- To determine the precise intervals where these inequalities are valid.
Main Methods:
- Proof-based mathematical analysis.
- Derivation of inequalities using properties of the sinc function.
- Interval analysis for validating the established inequalities.
Main Results:
- New exponential inequalities for the sinc function are proven.
- Analysis covers inequalities with constant exponents.
- Analysis includes inequalities with specific polynomial exponents.
- The validity intervals for all proven inequalities are established.
Conclusions:
- The paper contributes new theoretical results on sinc function inequalities.
- The established inequalities and their intervals offer valuable tools for mathematical applications.
- Further research can explore extensions of these inequalities to related functions.
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