Beschreibung:
<jats:p>In a previous paper the author (1) has shown the following theorem.</jats:p><jats:p>Theorem A. If each of H and K is a real-valued bounded function of subintervals of the number interval [a, b] and m is a real-valued non-decreasing function on [a} b] such that each of the integrals</jats:p><jats:p><jats:disp-formula><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" mime-subtype="gif" mimetype="image" position="float" xlink:type="simple" xlink:href="S0008414X00029898_eqn001" /></jats:disp-formula></jats:p><jats:p>exists, then the integral</jats:p><jats:p><jats:disp-formula><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" mime-subtype="gif" mimetype="image" position="float" xlink:type="simple" xlink:href="S0008414X00029898_eqn002" /></jats:disp-formula></jats:p><jats:p>exists.</jats:p>