On Inequalities of Periodic Functions and Their Derivatives
Copyright policy )On Inequalities of Periodic Functions and Their Derivatives
The inequality ‖ f ‖ B ⩽ a k ‖ f ( k ) ‖ B {\left \| f \right \|_B} \leqslant {a_k}{\left \| {{f^{(k)}}} \right \|_B} is proved for many spaces of periodic functions. An analogue for sequences is also given.
Banach spaces, optimality of constants, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Wirtinger's inequality, Absolutely continuous real functions in one variable, periodic absolutely continuous functions and derivatives
Banach spaces, optimality of constants, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Wirtinger's inequality, Absolutely continuous real functions in one variable, periodic absolutely continuous functions and derivatives
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