Version 1
: Received: 15 May 2023 / Approved: 15 May 2023 / Online: 15 May 2023 (10:44:36 CEST)
How to cite:
Shi, D.; Farid, G.; Younis, B.; Zinadah, H.A.; Anwar, M. A Unified Representation of Q- and H-Integrals and Consequences in Inequalities. Preprints2023, 2023051029. https://doi.org/10.20944/preprints202305.1029.v1
Shi, D.; Farid, G.; Younis, B.; Zinadah, H.A.; Anwar, M. A Unified Representation of Q- and H-Integrals and Consequences in Inequalities. Preprints 2023, 2023051029. https://doi.org/10.20944/preprints202305.1029.v1
Shi, D.; Farid, G.; Younis, B.; Zinadah, H.A.; Anwar, M. A Unified Representation of Q- and H-Integrals and Consequences in Inequalities. Preprints2023, 2023051029. https://doi.org/10.20944/preprints202305.1029.v1
APA Style
Shi, D., Farid, G., Younis, B., Zinadah, H.A., & Anwar, M. (2023). A Unified Representation of Q- and H-Integrals and Consequences in Inequalities. Preprints. https://doi.org/10.20944/preprints202305.1029.v1
Chicago/Turabian Style
Shi, D., Hanaa Abu- Zinadah and Matloob Anwar. 2023 "A Unified Representation of Q- and H-Integrals and Consequences in Inequalities" Preprints. https://doi.org/10.20944/preprints202305.1029.v1
Abstract
This paper aims to unify q-derivative/q-integral and h-derivative/h-integral in a single definition, this will be called q−h-derivative/q−h-integral. These notions are further extended on finite interval [a,b] in the form of left and right q−h-derivatives and q−h-integrals. Some inequalities are studied for q−h-integrals which are directly connected with well known results. In diverse fields of science and engineering the theory based on q-derivatives/q-integrals and h-derivatives/h-integrals can be unified by using the concept of q−h-derivative/q−h-integral.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
