Pregled bibliografske jedinice broj: 1171976
A Note on Hermite–Hadamard–Fejer Type Inequalities for Functions Whose n-th Derivatives Are m-Convex or (α,m)-Convex Functions
A Note on Hermite–Hadamard–Fejer Type Inequalities for Functions Whose n-th Derivatives Are m-Convex or (α,m)-Convex Functions // Axioms, 11 (2022), 1; 16, 8 (međunarodna recenzija, članak, znanstveni)
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Naslov
A Note on Hermite–Hadamard–Fejer Type Inequalities
for Functions Whose n-th Derivatives Are m-Convex
or (α,m)-Convex Functions
Autori
Kovač, Sanja
Izvornik
Axioms (2075-1680) 11
(2022), 1;
16, 8
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
weight ; function ; Hermite–Hadamard ; Fejér ; onepoint integral formula ; trapezoid formula ; midpoint formula
Sažetak
In this paper, we develop some Hermite–Hadamard– Fejér type inequalities for n-times differentiable functions whose absolute values of n-th derivatives are (α, m)-convex function. The results obtained in this paper are extensions and generalizations of the existing ones. As a special case, the generalization of the remainder term of the midpoint and trapezoidal quadrature formulas are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Emerging Sources Citation Index (ESCI)
- Scopus
