Quantum analogue of Hermite-Hadamard type inequalities for strongly convex functions

This paper presents enhanced parameterized quantum Hermite-Hadamard type integral inequalities for functions whose third right and left q -derivatives in absolute value are strongly convex functions. We obtain new bounds using H o ¨ lder’s and power mean inequalities as primary tools. Also, we deriv...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo Vol. 74; no. 1
Main Authors: Mishra, Shashi Kant, Sharma, Ravina, Bisht, Jaya
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.02.2025
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Strongly convex functions
26A51
lder’s inequality
26A33
Hermite-Hadamard type inequalities
H
Quantum calculus
26E25
26D15
ISSN:0009-725X, 1973-4409
Online Access:Get full text
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Summary:This paper presents enhanced parameterized quantum Hermite-Hadamard type integral inequalities for functions whose third right and left q -derivatives in absolute value are strongly convex functions. We obtain new bounds using H o ¨ lder’s and power mean inequalities as primary tools. Also, we derive new quantum estimates for q -trapezoidal and q -midpoints type inequalities in specific scenarios, which we illustrate with examples. These outcomes possess the potential for practical applications in optimizing various economic problems.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01123-2