In describing greed, envy and resentment, the passage speaks of being deprived of the sweetness of humble supplication and intimate prayer, as well as the blessing of worship. External devotional acts are thus connected to the inward dispositions that accompany them.
A person can recite supplications while persistently nursing hostility toward others; such a state may damage sincerity. This is not a declaration that any named person's worship is rejected. Rather, it directs attention to the moral atmosphere of the heart.
Practical correction involves honoring the rights of others, dealing fairly in financial matters and resisting malicious reactions to another's success. These habits create conditions more consistent with the humility and integrity sought in worship.