On some new Hardy‐type inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6503
Abstract: In this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators S1:=(S1)gw and S2:=(S2)gw defined by S1(x)=1W(x)∫axw(t)g(f(t))dt,S2(x)=∫axw(t)W(t)g(f(t))dt, with W(x)=∫0xw(t)dt,forx∈(0,+∞), where w… read more here.
Keywords: hardy type; type inequalities; new hardy;
A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12050499
Abstract: Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of… read more here.
Keywords: function; new hardy; hilbert type; integral inequality ... See more keywords