【摘要】 使用基本的与已知的不等式,将田彦武的一类涉及参数的分式不等式推广为更为一般情形与别的情形.例如,设ai>0(i=1,2,…,n),n 2,an+1=a1,an+2=a2,∑in=1api/2=1,且p 2,μ>0,λ>0,则有,∑ni=1aipλapi/+21+μapi+2>(1-4λ)-4μ,(ⅰ),如果在上述假设下还有0<a1 a2…an,那么,i∑=n1λapi+/21+aμipapi/+21api+/224-λ-μ4,(ⅱ).更多还原

【Abstract】 Using some fundamental and given inequalities,several inequalities of fractional expressions involving parameters,which are due to Tian Yanwu,are generalized as more general cases and others.For example,if a_i>0（i=1,2,…,n）,n2,a_n+1=a₁,a_n+2=a₂,∑ⁿ_i=1a^p/2_i=1 and p2,μ>0,λ>0,then∑ni=1a^p_iλa^p/2_i+1+μa^p_i+2>（1-λ4-μ4）,（ⅰ）.Under the above hypothesis,if 0<a₁a₂…a_n we have ∑ni=1a^p_iλa^p/2_i+1+μa^p/2_i+1a^p/2_i+2>4-λ-μ4,（ⅱ）.更多还原