On Hermite-Hadamard and Ostrowski type inequalities for strongly convex functions via quantum calculus with applications
Authors
Ch. Sahatsathatsana
- Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand.
K. Nonlaopon
- Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand.
Abstract
In this study, we use \(q_{a}\)- and \(q^b\)-integrals to prove Hermite-Hadamard and Ostrowski type inequalities for strongly convex functions. The relationship between the results and comparable results in the related literature is also discussed in this study. Furthermore, this study also presents how the newly established inequalities can be utilized in special means, including arithmetic mean and logarithmic ones.
Share and Cite
ISRP Style
Ch. Sahatsathatsana, K. Nonlaopon, On Hermite-Hadamard and Ostrowski type inequalities for strongly convex functions via quantum calculus with applications, Journal of Mathematics and Computer Science, 36 (2025), no. 1, 35--51
AMA Style
Sahatsathatsana Ch., Nonlaopon K., On Hermite-Hadamard and Ostrowski type inequalities for strongly convex functions via quantum calculus with applications. J Math Comput SCI-JM. (2025); 36(1):35--51
Chicago/Turabian Style
Sahatsathatsana, Ch., Nonlaopon, K.. "On Hermite-Hadamard and Ostrowski type inequalities for strongly convex functions via quantum calculus with applications." Journal of Mathematics and Computer Science, 36, no. 1 (2025): 35--51
Keywords
- Ostrowski type inequalities
- Hermite-Hadamard type inequalities
- strongly convex functions
- quantum calculus
- \(q_{a}\)-integral
- \(q^b\)-integral
MSC
- 05A30
- 26A51
- 26D10
- 26D15
- 26D25
- 52A01
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