Open AccessOn Some Integral Inequalities in Quantum Calculus
Author(s) -
Mohamed Jleli,
Bessem Samet
Publication year - 2020
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2020/6079654
Subject(s) - inequality , mathematics , type (biology) , calculus (dental) , pure mathematics , algebra over a field , mathematical analysis , dentistry , biology , medicine , ecology
The objective of this paper is to establish q -analogue of some well-known inequalities in analysis, namely, Poincaré-type inequalities, Sobolev-type inequalities, and Lyapunov-type inequalities. Our obtained results may serve as a useful source of inspiration for future works in quantum calculus.