Weighted Hardy-type inequalities for monotone convex functions with some applications (CROSBI ID 191567)
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Iqbal, Sajid ; Krulić Himmelreich, Kristina ; Pečarić, Josip
engleski
Weighted Hardy-type inequalities for monotone convex functions with some applications
In this paper, we establish some new refined weighted Hardy-type inequalities involving monotone convex functions. We give the results for some special kernels of Riemann-Liouville and Weyl's operators as applications. Also we discuss some related dual cases. At the end, we prove some refined G. H. Hardy-type inequalities for different kinds of fractional integrals and fractional derivatives.
Monotone convex function; kernel; fractional derivatives; fractional integrals.
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