TY - JOUR AU - Bai, Yu-Mei AU - Qi, Feng PY - 2016 TI - Some integral inequalities of the Hermite--Hadamard type for log-convex functions on co-ordinates JO - Journal of Nonlinear Sciences and Applications SP - 5900--5908 VL - 9 IS - 12 AB - In the paper, the authors establish some new integral inequalities for log-convex functions on co-ordinates. These newly-established inequalities are connected with integral inequalities of the Hermite-Hadamard type for log-convex functions on co-ordinates. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.12.01 DO - 10.22436/jnsa.009.12.01 ID - Bai2016 ER - TY - JOUR TI - On the Hadamard's inequality for log-convex functions on the coordinates AU - M. Alomari AU - M. Darus JO - J. Inequal. Appl. PY - 2009 DA - 2009// VL - 2009 ID - Alomari2009 ER - TY - JOUR TI - Some new integral inequalities of Hermite-Hadamard type for (\(\alpha,m,P\))-convex functions on co-ordinates AU - S.-P. Bai AU - F. Qi AU - S.-H. Wang JO - J. Appl. Anal. Comput. PY - 2016 DA - 2016// VL - 6 ID - Bai2016 ER - TY - JOUR TI - On the Hadamards inequlality for convex functions on the co-ordinates in a rectangle from the plane AU - S. S. Dragomir JO - Taiwanese J. Math. PY - 2001 DA - 2001// VL - 5 ID - Dragomir2001 ER - TY - BOOK TI - Selected topics on Hermite-Hadamard inequalities and applications AU - S. S. Dragomir AU - C. E. M. Pearce PB - RGMIA Monographs PY - 2002 DA - 2002// CY - Victoria University ID - Dragomir2002 ER - TY - JOUR TI - Hadamard's inequality for r-convex functions AU - P. M. Gill AU - C. E. M. Pearce AU - J. Pečarić JO - J. Math. Anal. Appl. PY - 1997 DA - 1997// VL - 215 ID - Gill1997 ER - TY - JOUR TI - Some new inequalities of Hermite-Hadamard type for geometrically mean convex functions on the co-ordinates AU - X.-Y. Guo AU - F. Qi AU - B.-Y. Xi JO - J. Comput. Anal. Appl. PY - 2016 DA - 2016// VL - 21 ID - Guo2016 ER - TY - JOUR TI - Some Hadamard's inequalities for co-ordinated convex functions in a rectangle from the plane AU - D.-Y. Hwang AU - K.-L. Tseng AU - G.-S. Yang JO - Taiwanese J. Math. PY - 2007 DA - 2007// VL - 11 ID - Hwang2007 ER - TY - JOUR TI - On the Jensen's inequality for convex functions on the co-ordinates in a rectangle from the plane AU - M. Klaričić Bakula AU - J. Pečarić JO - Taiwanese J. Math. PY - 2006 DA - 2006// VL - 10 ID - Bakula2006 ER - TY - JOUR TI - On the Simpsons inequality for co-ordinated convex functions AU - M. E. Özdemir AU - A. O. Akdemir AU - H. Kavurmacı JO - Turkish J. Anal. Number Theory PY - 2014 DA - 2014// VL - 2 ID - Özdemir2014 ER - TY - JOUR TI - On co-ordinated quasi-convex functions AU - M. E. Özdemir AU - A. O. Akdemir AU - Ç . Yıldız JO - Czechoslovak Math. J. PY - 2012 DA - 2012// VL - 62 ID - Özdemir2012 ER - TY - JOUR TI - Some new Hadamard type inequalities for co-ordinated m-convex and (\(\alpha,m\))-convex functions AU - M. E. Özdemir AU - E. Set AU - M. Z. Sarikaya JO - Hacet. J. Math. Stat. PY - 2011 DA - 2011// VL - 40 ID - Özdemir2011 ER - TY - JOUR TI - On some new Hadamard-type inequalities for co-ordinated quasi-convex functions AU - M. E. Özdemir AU - Ç . Yıldız AU - A. O. Akdemir JO - Hacet. J. Math. Stat. PY - 2012 DA - 2012// VL - 41 ID - Özdemir2012 ER - TY - JOUR TI - Some integral inequalities of Simpson type for \(GA-\varepsilon\)-convex functions AU - F. Qi AU - B.-Y. Xi JO - Georgian Math. J. PY - 2013 DA - 2013// VL - 20 ID - Qi2013 ER - TY - JOUR TI - On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals AU - M. Z. Sarikaya JO - Integral Transforms Spec. Funct. PY - 2014 DA - 2014// VL - 25 ID - Sarikaya2014 ER - TY - JOUR TI - Some inequalities for differentiable coordinated convex mappings AU - M. Z. Sarikaya JO - Asian-Eur. J. Math. PY - 2015 DA - 2015// VL - 8 ID - Sarikaya2015 ER - TY - JOUR TI - Čebyševtype inequalities for co-ordinated convex functions AU - M. Z. Sarikaya AU - H. Budak AU - H. Yaldiz JO - Pure Appl. Math. Lett. PY - 2014 DA - 2014// VL - 2 ID - Sarikaya2014 ER - TY - JOUR TI - Some new Ostrowski type inequalities for co-ordinated convex functions AU - M. Z. Sarikaya AU - H. Budak AU - H. Yaldiz JO - Turkish J. Anal. Number Theory PY - 2014 DA - 2014// VL - 2 ID - Sarikaya2014 ER - TY - JOUR TI - New some Hadamard's type inequalities for co-ordinated convex functions AU - M. Z. Sarikaya AU - E. Set AU - M. E. Ozdemir AU - S. S. Dragomir JO - Tamsui Oxf. J. Inf. Math. Sci. PY - 2012 DA - 2012// VL - 28 ID - Sarikaya2012 ER - TY - JOUR TI - Hadamard type inequalities for \(\varphi\)-convex functions on co-ordinates AU - E. Set AU - M. Z. Sarikaya AU - A. O. Akdemir JO - Tbilisi Math. J. PY - 2014 DA - 2014// VL - 7 ID - Set2014 ER - TY - JOUR TI - Some new inequalities of Hermite-Hadamard type for h-convex functions on the co-ordinates via fractional integrals AU - E. Set AU - M. Z. Sarikaya AU - H. Ögülmüş JO - Facta Univ. Ser. Math. Inform. PY - 2014 DA - 2014// VL - 29 ID - Set2014 ER - TY - JOUR TI - Hermite-Hadamard type inequalities for s-convex functions via Riemann-Liouville fractional integrals AU - S.-H. Wang AU - F. Qi JO - J. Comput. Anal. Appl. PY - 2017 DA - 2017// VL - 22 ID - Wang2017 ER - TY - JOUR TI - Integral inequalities of Hermite-Hadamard type for functions whose derivatives are strongly \(\alpha\)-preinvex AU - Y. Wang AU - B.-Y. Xi AU - F. Qi JO - Acta Math. Acad. Paedagog. Nyházi. (N.S.) PY - 2016 DA - 2016// VL - 32 ID - Wang2016 ER - TY - JOUR TI - On some Hermite-Hadamard type inequalities for (s;QC)-convex functions AU - Y. Wu AU - F. Qi AU - JO - SpringerPlus PY - 2016 DA - 2016// VL - 5 ID - Wu2016 ER - TY - JOUR TI - Integral inequalities of Simpson type for logarithmically convex functions AU - B.-Y. Xi AU - F. Qi JO - Adv. Stud. Contemp. Math. (Kyungshang) PY - 2013 DA - 2013// VL - 23 ID - Xi2013 ER - TY - JOUR TI - Hermite-Hadamard type inequalities for n-times differentiable and geometrically quasi-convex functions AU - J. Zhang AU - F. Qi AU - G.-C. Xu AU - Z.-L. Pei JO - SpringerPlus PY - 2016 DA - 2016// VL - 5 ID - Zhang2016 ER -