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Pregled bibliografske jedinice broj: 954115

Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial


Ihsan, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial // Journal of Mathematical and Computational Science, 7 (2017), 2; 211-229 (međunarodna recenzija, članak, znanstveni)


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Naslov
Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial

Autori
Ihsan, Saad Ihsan ; Khan, Khuram Ali ; Pečarić, Josip

Izvornik
Journal of Mathematical and Computational Science (1927-5307) 7 (2017), 2; 211-229

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
convex function ; exponentially convex function ; Cauchy means

Sažetak
The inequality of Popoviciu for convex functions is generalized via Abel-Gontscharoff interpolating polynomial for higher order convex functions. Bounds are found for new identities, exponential convexity and Cauchy means are presented for linear functionals coming from the general inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

scik.org

Citiraj ovu publikaciju:

Ihsan, Saad Ihsan; Khan, Khuram Ali; Pečarić, Josip
Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial // Journal of Mathematical and Computational Science, 7 (2017), 2; 211-229 (međunarodna recenzija, članak, znanstveni)
Ihsan, S., Khan, K. & Pečarić, J. (2017) Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial. Journal of Mathematical and Computational Science, 7 (2), 211-229.
@article{article, author = {Ihsan, Saad Ihsan and Khan, Khuram Ali and Pe\v{c}ari\'{c}, Josip}, year = {2017}, pages = {211-229}, keywords = {convex function, exponentially convex function, Cauchy means}, journal = {Journal of Mathematical and Computational Science}, volume = {7}, number = {2}, issn = {1927-5307}, title = {Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial}, keyword = {convex function, exponentially convex function, Cauchy means} }
@article{article, author = {Ihsan, Saad Ihsan and Khan, Khuram Ali and Pe\v{c}ari\'{c}, Josip}, year = {2017}, pages = {211-229}, keywords = {convex function, exponentially convex function, Cauchy means}, journal = {Journal of Mathematical and Computational Science}, volume = {7}, number = {2}, issn = {1927-5307}, title = {Generalization of Popoviciu type inequalities via Abel-Gontscharoff interpolating polynomial}, keyword = {convex function, exponentially convex function, Cauchy means} }




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