Voir la notice de l'article provenant de la source Math-Net.Ru
@article{PA_2019_8_2_a1, author = {M. Rostamian Delavar and S. S. Dragomir and M. De La Sen}, title = {A note on characterization of $h$-convex functions via {Hermite--Hadamard} type inequality}, journal = {Problemy analiza}, pages = {28--36}, publisher = {mathdoc}, volume = {8}, number = {2}, year = {2019}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PA_2019_8_2_a1/} }
TY - JOUR AU - M. Rostamian Delavar AU - S. S. Dragomir AU - M. De La Sen TI - A note on characterization of $h$-convex functions via Hermite--Hadamard type inequality JO - Problemy analiza PY - 2019 SP - 28 EP - 36 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PA_2019_8_2_a1/ LA - en ID - PA_2019_8_2_a1 ER -
%0 Journal Article %A M. Rostamian Delavar %A S. S. Dragomir %A M. De La Sen %T A note on characterization of $h$-convex functions via Hermite--Hadamard type inequality %J Problemy analiza %D 2019 %P 28-36 %V 8 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/PA_2019_8_2_a1/ %G en %F PA_2019_8_2_a1
M. Rostamian Delavar; S. S. Dragomir; M. De La Sen. A note on characterization of $h$-convex functions via Hermite--Hadamard type inequality. Problemy analiza, Tome 8 (2019) no. 2, pp. 28-36. http://geodesic.mathdoc.fr/item/PA_2019_8_2_a1/
[1] Breckner W. W., “Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionen in topologischen linearen Räumen”, Publ. Inst. Math., 23 (1978), 13–20 | MR | Zbl
[2] Dragomir S. S., Pečarić J., Persson L. E., “Some inequalities of Hadamard type”, Soochow J. Math., 21 (1995), 335–341 | MR | Zbl
[3] Godunova E. K., Levin V. I., “Neravenstva dlja funkcii širokogo klassa, soderžaščego vypuklye, monotonnye i nekotorye drugie vidy funkcii”, Vyčislitel. Mat. i. Mat. Fiz. Mežvuzov, Sb. Nauč. Trudov, MGPI, M., 1985, 138–142
[4] Házy A., “Bernstein-Doetsch type results for $h$-convex functions”, Math. Ineq. Appl., 14:3 (2011), 499–508 | DOI | MR | Zbl
[5] Niculescu C. P., Persson L. E., Convex functions and their applications: a contemporary approach, CMS Books in Mathematics, Springer, Berlin, 2006 | DOI | MR | Zbl
[6] Robert A. W., Varbeg D. E., Convex functions, Academic Press, New York, 1973 | MR | Zbl
[7] Rudin W., Principles of mathematical analysis, McGraw-Hill, 1976 | MR | Zbl
[8] Sarikaya M. Z., Saglam A., Yildirim H., “On Some Hadamard-Type Inequalities for $h$-Convex Functions”, J. Math. Ineq., 2:3 (2008), 335–341 | DOI | MR | Zbl
[9] Varošanec S., “On $h$-convexity”, J. Math. Anal. Appl., 326 (2007), 303–311 | DOI | MR | Zbl