In this paper, we obtain some sharp inequalities for numerical radius of finite sums of operators. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.

‎ ‎In this paper‎, ‎we present a theorem pertinent to singular value‎ inequalities for positive and compact operators on a Hilbert space‎. Moreover‎, ‎we obtain several trace inequalities for operator‎ (p,h)-convex functions‎.