Обобщение неравенств Островского на временных шкалах

DOI10.46698/q4172-3323-1923-jOpenAlexW4387102329MaRDI QIDQ6183937

Muhammad Awais Shaikh, Faraz Mehmood, Asif R. Khan

Publication date: 23 January 2024

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj876

zbMATH Keywords

time scalesOstrowski inequalityHölder inequalityquantum calculusMontgomery identity

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) General mathematical topics and methods in quantum theory (81Q99) Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Cites Work

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• The second Euler-Lagrange equation of variational calculus on time scales
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• Transversality conditions for infinite horizon variational problems on time scales
• Weak maximum principle and accessory problem for control problems on time scales
• Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
• Estimates for weighted Ostrowski-Grüss type inequalities with applications
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• Multivariable Dynamic Calculus on Time Scales
• Natural boundary conditions in the calculus of variations
• Generalized perturbed Ostrowski-type inequalities

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