Journal of Applied Math, 2025，3(1), 2388. https://doi.org/10.59400/jam2388
A note on Schur convexity for compositions of complete symmetric functionsand new simple proofs
Huan-Nan Shi, Jing Zhang, Wei-Shih Du
Abstract. In this work, by applying the properties of Schur-convex functions, Schur-geometrically convex functions and Schur-harmonically convex functions directly, we will provide more direct and simple proofs for compositions of complete symmetric functions.
2010 Mathematics Subject Classification: Primary 05E05, 26B25.
Keywords: complete symmetric function; Schur-convexity; Schur-geometric convexity; Schur-harmonic convexity; composite function
A note on Schur convexity for compositions of complete symmetric functions and n.pdf
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