Logarithmic convexity, first order differential inequalities and some applications
Logarithmic convexity, first order differential inequalities and some applications
Let, for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="t element-of left-bracket 0 comma upper T right-parenthesis left-parenthesis upper T greater-than normal infinity right-parenthesis comma upper D left-parenthesis t right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mo stretchy="false">[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mo>></mml:mo> <mml:mi mathvariant="normal">∞<!-- ∞ --></mml:mi> <mml:mo stretchy="false">)</mml:mo> …