We define the class of α-monotone functions using fractional integrals. For such functions we prove a Boas-type result on the summability of the Fourier coefficients. Journal Information Mathematica ...
Several Steffensen type inequalities are derived for anti-symmetrized monotone functions, i. e. functions f which anti-symmetrical transform f ˜ ( x )= 1 2 [ f( x )−f( a+b−x ) ], x∈[ a,b ] , is ...
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