【摘要】 研究了函数△_p(r)=(E_p-(r’)~pK_p)/(r~p)-(E’_p-r~pK’_p)/((r’)~p)的单调性和凸性并给出了该函数的两个不等式,其中K_p和E_p分别是第一型和第二型广义椭圆积分.更多还原

【Abstract】 In this paper, the authors mainly study monotonicity and convexity of the functionΔ_p(r) where K_p and E_p denote the generalized elliptic integrals of the first and second kinds,respectively. Hence, we give two new inequalities.更多还原