By George A Anastassiou
This monograph includes the author's paintings of the final 4 years in discrete and fractional research. It introduces the perfect delta and correct nabla fractional calculus on time scales and maintains with the suitable delta and correct nabla discrete fractional calculus within the Caputo feel. Then, it exhibits illustration formulae of capabilities on time scales and provides Ostrowski sort inequalities, Landau variety inequalities, Grüss sort and comparability of capacity inequalities, these types of over the years scales. the quantity keeps with indispensable operator inequalities and their multivariate vectorial types utilizing convexity of services, back these kinds of over the years scales. It follows the Grüss and Ostrowski variety inequalities concerning s-convexity of capabilities; and likewise examines the final case whilst a number of capabilities are concerned. Then, it provides the overall fractional Hermite–Hadamard kind inequalities utilizing m-convexity and (s, m)-convexity. ultimately, it introduces the relief procedure in fractional calculus and its connection to fractional Ostrowski variety inequalities is studied.
This book's effects are anticipated to discover functions in lots of components of natural and utilized arithmetic, specially in distinction equations and fractional differential equations. The chapters are self-contained and will be learn independently, and complex classes should be taught out of it. it's appropriate for researchers, graduate scholars, seminars of the above topics, and serves good as a useful source for all technological know-how libraries.
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Extra info for Frontiers in Time Scales and Inequalities (Series on Concrete and Applicable Mathematics)
Frontiers in Time Scales and Inequalities (Series on Concrete and Applicable Mathematics) by George A Anastassiou