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Frontiers In Time Scales And Inequalities (Hardcover)
Loot Price: R2,755
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Frontiers In Time Scales And Inequalities (Hardcover)
Series: Series on Concrete & Applicable Mathematics, 17
Expected to ship within 12 - 17 working days
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This monograph contains the author's work of the last four years in
discrete and fractional analysis. It introduces the right delta and
right nabla fractional calculus on time scales and continues with
the right delta and right nabla discrete fractional calculus in the
Caputo sense. Then, it shows representation formulae of functions
on time scales and presents Ostrowski type inequalities, Landau
type inequalities, Gruss type and comparison of means inequalities,
all these over time scales. The volume continues with integral
operator inequalities and their multivariate vectorial versions
using convexity of functions, again all these over time scales. It
follows the Gruss and Ostrowski type inequalities involving
s-convexity of functions; and also examines the general case when
several functions are involved. Then, it presents the general
fractional Hermite-Hadamard type inequalities using m-convexity and
(s, m)-convexity. Finally, it introduces the reduction method in
fractional calculus and its connection to fractional Ostrowski type
inequalities is studied.This book's results are expected to find
applications in many areas of pure and applied mathematics,
especially in difference equations and fractional differential
equations. The chapters are self-contained and can be read
independently, and advanced courses can be taught out of it. It is
suitable for researchers, graduate students, seminars of the above
subjects, and serves well as an invaluable resource for all science
libraries.
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