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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… Click to show full 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 is a weight function and g is a real continuous function on (0,+∞).
Keywords:
hardy type;
type inequalities;
new hardy
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!