Generalized integral inequalities on time scales

DOI10.1186/S13660-016-1170-5zbMath1346.26008OpenAlexW2526467473WikidataQ59460297 ScholiaQ59460297MaRDI QIDQ311342

Gholam Roqia, Nazia Irshad, Tooba Fayyaz, Ghaus ur Rahman, Asif R. Khan

Publication date: 29 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1170-5

zbMATH Keywords

time scale\((q, h)\)-derivative\(\Delta\) and \(\nabla\) integralsFeng Qi inequalitynon-negative increasing function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items (5)

Some new integral inequalities on time scales ⋮ A note on integral inequalities on time scales associated with Ostrowski's type ⋮ On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral ⋮ \(N\)-tuple diamond-alpha integral and inequalities on time scales ⋮ Dynamic Opial diamond-\(\alpha\) integral inequalities involving the power of a function

Cites Work

• Refinements of Hermite-Hadamard type inequalities for differentiable co-ordinated convex functions and applications
• Some generalizations of Opial's inequalities on time scales
• On some inequalities of Hadamard's type and applications
• Inequalities of Hermite-Hadamard-Fejér type for convex functions and Lipschitzian functions
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Inequalities on Time Scales: A Survey
• On (q, h)-Analogue of Fractional Calculus
• Multiple positive solutions for \(p\)-Laplacian functional dynamic equations on time scales
• Quantum calculus
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