Abstract
In this chapter, we consider generalized convex functions involving two arbitrary functions. We establish some new quantum integral inequalities for the generalized convex functions. Several spacial cases are also discussed which can be obtained from our main results. We expect that the techniques and ideas developed here would be useful in future research. Exploring the applications of general convex functions and quantum integral inequalities is an interesting and fascinating problem.
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Acknowledgements
The authors are thankful to Dr. S. M. Junaid Zaidi(H.I., S.I.), Rector, COMSATS Institute of Information Technology, Pakistan, for providing excellent research and academic environment. Authors would like to express their sincere gratitude to the referee for his constructive suggestions, interest and kind cooperation. The authors are pleased to acknowledge the “support of Distinguished Scientist Fellowship Program (DSFP), King Saud University, Riyadh, Saudi Arabia.”
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Noor, M.A., Noor, K.I., Awan, M.U. (2017). Quantum Integral Inequalities for Generalized Convex Functions. In: Govil, N., Mohapatra, R., Qazi, M., Schmeisser, G. (eds) Progress in Approximation Theory and Applicable Complex Analysis. Springer Optimization and Its Applications, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-49242-1_11
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DOI: https://doi.org/10.1007/978-3-319-49242-1_11
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