On the Convexity of High Order of Sequences
Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We improve some results of Lacković and Simić [2] concerning the weighted arithmetic means that preserve the convexity of high order of sequences. 
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     author = {G. Toader},
     title = {On the {Convexity} of {High} {Order} of {Sequences}},
     journal = {Publications de l'Institut Math\'ematique},
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G. Toader. On the Convexity of High Order of Sequences. Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57. https://geodesic-test.mathdoc.fr/item/PIM_1988_N_S_43_57_a4/