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Pregled bibliografske jedinice broj: 651126

Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications


Pečarić, Josip; Rehman, Atiq Ur
Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications // Southeast Asian bulletin of mathematics, 36 (2012), 6; 863-874 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 651126 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications

Autori
Pečarić, Josip ; Rehman, Atiq Ur

Izvornik
Southeast Asian bulletin of mathematics (0129-2021) 36 (2012), 6; 863-874

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

Ključne riječi
Convex-concave; Giaccardi's inequality; Antisymmetric function; Exponentially convex function; Log-convex functions; Positive semidefinite matrix; Mean value theorems

Sažetak
We give a proof of Giaccardi's inequality for convex-concave antisymmetric function.Also we give the exponential convexity of improvement of Giaccardi's inequality by using positive semidefinite matrix and related mean value theorems of Cauchy type.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Pečarić, Josip; Rehman, Atiq Ur
Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications // Southeast Asian bulletin of mathematics, 36 (2012), 6; 863-874 (međunarodna recenzija, članak, znanstveni)
Pečarić, J. & Rehman, A. (2012) Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications. Southeast Asian bulletin of mathematics, 36 (6), 863-874.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Rehman, Atiq Ur}, year = {2012}, pages = {863-874}, keywords = {Convex-concave, Giaccardi's inequality, Antisymmetric function, Exponentially convex function, Log-convex functions, Positive semidefinite matrix, Mean value theorems}, journal = {Southeast Asian bulletin of mathematics}, volume = {36}, number = {6}, issn = {0129-2021}, title = {Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications}, keyword = {Convex-concave, Giaccardi's inequality, Antisymmetric function, Exponentially convex function, Log-convex functions, Positive semidefinite matrix, Mean value theorems} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Rehman, Atiq Ur}, year = {2012}, pages = {863-874}, keywords = {Convex-concave, Giaccardi's inequality, Antisymmetric function, Exponentially convex function, Log-convex functions, Positive semidefinite matrix, Mean value theorems}, journal = {Southeast Asian bulletin of mathematics}, volume = {36}, number = {6}, issn = {0129-2021}, title = {Giaccardi's Inequality for Convex-Concave Antisymmetric Functions and Applications}, keyword = {Convex-concave, Giaccardi's inequality, Antisymmetric function, Exponentially convex function, Log-convex functions, Positive semidefinite matrix, Mean value theorems} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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