- Turkish Journal of Science and Technology
- Vol: 17 Issue: 2
- Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals
Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals
Authors : Mehmet KUNT, Abdul BAİDAR, Zeynep ŞANLI
Pages : 343-356
Doi:10.55525/tjst.1112582
View : 7 | Download : 4
Publication Date : 2022-09-30
Article Type : Research
Abstract :In this work, the concepts of quantum derivative and quantum integral were renamed to be the left quantum derivative and the left definite quantum integral. Symmetrically to the left, a new quantum derivative (the right) and definite quantum integral (the right) were defined. Some properties of these new concepts were investigated and as well as according to do these new concepts some inaccuracies in quantum integral inequalities were corrected. Moreover, some new quantum Hermite-Hadamard type inequalities were established.Keywords : Quantum Derivative, Quantum Integral, Integral Inequalities, Convex Functions.