Integral Inequalities in q-Calculus

Computers and Mathematics with Applications

Volumn 47, Issue 2-3, 2004, Pages 281-300

  Gauchman, H ^a  

^a EASTERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Chebyshev's inequalities; Gr ss'; Hermite hadamard's; Lyengar's; q derivative; q integral; steffensen's

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; FUNCTIONS; INTEGRATION; SET THEORY; THEOREM PROVING;

CHEBYSHEV'S INEQUALITIES; GRÜSS' INEQUALITIES; HERMITE-HADAMARD'S INEQUALITIES; IYENGAR'S INEQUALITIES; Q-DERIVATIVES; Q-INTEGRAL; STEFFENSEN'S INEQUALITIES;

DIFFERENTIATION (CALCULUS);

EID: 1242329948     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90025-9     Document Type: Article

References (5)

1. F.H. Jackson, On q-deflnite integrals, Quart. J. Pure and Appl. Math. 41, 193-203, (1910).
2. H. Gauchman, Some integral inequalities involving Taylor's remainder I, Journal of Inequalities in Pure and Applied Mathematics 3 (2), 1-9, (2002).
3. V. Kac and P. Cheung, Quantum Calculus, Springer-Verlag, (2002).
4. D.S. Mitronović, J.E. Pečarić and A.M. Fink,' Classical and New Inequalities in Analysis, Kluwer Academic, (1993).
5. K.P. Agarwal and S.S. Dragomir, An application of Hayashi's inequality for differentiate functions, Computers Math. Applic. 32 (6), 95-99, (1996).