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    On the Logarithmic Regularity Conditions for the Variable Exponent Hardy Type Inequality
    (Hindawi Ltd, 2014) Harman, Aziz; Keles, Mustafa Ozgur
    We discuss a logarithmic regularity condition in a neighborhood of the origin and infinity on the exponent functions q (x) >= p (x) and beta (x) for the variable exponent Hardy inequality parallel to x(beta(.)-1) integral(x)(0) f (t) dt parallel to(Lp(.)(0,l)) <= C parallel to x(beta(.)) f parallel to(Lp(.)(0,l)) to hold.