Naj bo ▫$A$▫ pozitiven linearen operator delujoč v ▫$L_1(0,1)$▫. Posplošen je ▫$H$▫-teorem Yoside na tale način: Naj bo ▫$y_0$▫ pozitiven lastni vektor operatorja ▫$A$▫, ▫$y_0^\ast$▫ nenegativen ...lastni vektor operatorja ▫$A^\ast$▫, ▫$H(z)$▫, ▫$z \ge 0$▫ pa naj bo konveksna funkcija. Potem velja za vsako nenegativno funkcijo ▫$x \in L_1(0,1)$▫ neenakost ▫$y_0^\ast [y_0 H(y_0^{-1}x)] \le y_0^\ast [y_0 H(y_0^{-1}Ax)]$▫.
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