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Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals

Year 2022, Volume: 17 Issue: 2, 343 - 356, 30.09.2022
https://doi.org/10.55525/tjst.1112582

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.

References

  • Ali, M. A., Abbas, M., Budak, H., Agarwal, P., Murtaza, G., & Chu, Y. M. (2021). New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Advances in Di¤erence Equations, 2021(1), 1-21.
Year 2022, Volume: 17 Issue: 2, 343 - 356, 30.09.2022
https://doi.org/10.55525/tjst.1112582

Abstract

References

  • Ali, M. A., Abbas, M., Budak, H., Agarwal, P., Murtaza, G., & Chu, Y. M. (2021). New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Advances in Di¤erence Equations, 2021(1), 1-21.
There are 1 citations in total.

Details

Primary Language English
Journal Section TJST
Authors

Mehmet Kunt 0000-0002-8730-5370

Abdul Baidar 0000-0002-9510-3138

Zeynep Şanlı 0000-0002-1564-2634

Publication Date September 30, 2022
Submission Date May 4, 2022
Published in Issue Year 2022 Volume: 17 Issue: 2

Cite

APA Kunt, M., Baidar, A., & Şanlı, Z. (2022). Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. Turkish Journal of Science and Technology, 17(2), 343-356. https://doi.org/10.55525/tjst.1112582
AMA Kunt M, Baidar A, Şanlı Z. Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. TJST. September 2022;17(2):343-356. doi:10.55525/tjst.1112582
Chicago Kunt, Mehmet, Abdul Baidar, and Zeynep Şanlı. “Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals”. Turkish Journal of Science and Technology 17, no. 2 (September 2022): 343-56. https://doi.org/10.55525/tjst.1112582.
EndNote Kunt M, Baidar A, Şanlı Z (September 1, 2022) Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. Turkish Journal of Science and Technology 17 2 343–356.
IEEE M. Kunt, A. Baidar, and Z. Şanlı, “Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals”, TJST, vol. 17, no. 2, pp. 343–356, 2022, doi: 10.55525/tjst.1112582.
ISNAD Kunt, Mehmet et al. “Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals”. Turkish Journal of Science and Technology 17/2 (September 2022), 343-356. https://doi.org/10.55525/tjst.1112582.
JAMA Kunt M, Baidar A, Şanlı Z. Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. TJST. 2022;17:343–356.
MLA Kunt, Mehmet et al. “Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals”. Turkish Journal of Science and Technology, vol. 17, no. 2, 2022, pp. 343-56, doi:10.55525/tjst.1112582.
Vancouver Kunt M, Baidar A, Şanlı Z. Some Quantum Integral Inequalities Based on Left-Right Quantum Integrals. TJST. 2022;17(2):343-56.