TY - JOUR AU - Naeem, Rishi AU - Anwar, Matloob PY - 2019 TI - Weighted Jessen's functionals and exponential convexity JO - Journal of Mathematics and Computer Science SP - 171--180 VL - 19 IS - 3 AB - In this paper, we give a refinement of the well known Jessen's inequality via weight functions. We discuss \(m\)-exponential convexity of the functions associated with these weighted Jessen's functionals. Cauchy and Lagrange mean value theorems are also given that are useful in the construction of means with Stolarsky property. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.019.03.04 DO - 10.22436/jmcs.019.03.04 ID - Naeem2019 ER - TY - JOUR TI - Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means AU - M. Anwar AU - N. Latif AU - J. Pečarić JO - J. Inequal. Appl. PY - 2010 DA - 2010// VL - 2010 ID - Anwar2010 ER - TY - JOUR TI - $n$--Exponential convexity of weighted Hermite--Hadamard's inequality AU - S. I. Butt AU - R. Jakšić AU - L. Kvesić AU - J. Pečarić JO - J. Math. Inequal. PY - 2014 DA - 2014// VL - 8 ID - Butt2014 ER - TY - JOUR TI - Properties of some functionals related to Jensen's inequality AU - S. S. Dragomir AU - J. Pečarić AU - L. E. Persson JO - Acta Math. Hungar. PY - 1996 DA - 1996// VL - 70 ID - Dragomir1996 ER - TY - JOUR TI - $n$--Exponential convexity of Hardy--type and Boas--type functionals AU - S. Iqbal AU - K. Krulić Himmelreich AU - J. Pečarić AU - D. Pokaz JO - J. Math. Inequal. PY - 2013 DA - 2013// VL - 7 ID - Iqbal2013 ER - TY - JOUR TI - Exponential convexity for Jensen's inequality for norms AU - J. Jakšetić AU - R. Naeem AU - J. Pečarić JO - J. Inequal. Appl. PY - 2016 DA - 2016// VL - 2016 ID - Jakšetić2016 ER - TY - JOUR TI - Exponential Convexity method AU - J. Jakšetić AU - J. Pečarić JO - J. Convex Anal. PY - 2013 DA - 2013// VL - 20 ID - Jakšetić2013 ER - TY - JOUR TI - Bemaerkinger om konvekse Funktioner og Uligheder imellem Middelvaerdier I AU - B. Jessen JO - Mat. Tidsskrift B PY - 1931 DA - 1931// VL - 1931 ID - Jessen1931 ER - TY - JOUR TI - On the refinements of the integral Jensen--Steffensen inequality AU - S. Khalid AU - J. Pečarić JO - J. Inequal. Appl. PY - 2013 DA - 2013// VL - 2013 ID - Khalid2013 ER - TY - JOUR TI - $n$--Exponential convexity of some dynamic Hardy--type functionals AU - K. A. Khan AU - A. Nosheen AU - J. Pečarić JO - J. Math. Inequal. PY - 2014 DA - 2014// VL - 8 ID - Khan2014 ER - TY - JOUR TI - $n$--Exponential convexity for Jensen--type inequalities AU - A. R. Khan AU - J. Pečarić AU - M. Rodić Lipanović JO - J. Math. Inequal. PY - 2013 DA - 2013// VL - 7 ID - Khan2013 ER - TY - BOOK TI - Classical and New Inequalities in Analysis AU - D. S. Mitrinović AU - J. E. Pečarić AU - A. M. Fink PB - Kluwer Academic Publishers Group PY - 1993 DA - 1993// CY - Dordrecht ID - Mitrinović1993 ER - TY - JOUR TI - $m$--Exponential convexity of refinements of Hermite--Hadamards inequality AU - R. Naeem JO - Proc. Pak. Acad. Sci. A PY - 2017 DA - 2017// VL - 54 ID - Naeem2017 ER - TY - JOUR TI - Jessen type functionals and exponential convexity AU - R. Naeem AU - M. Anwar JO - J. Math. Computer Sci. PY - 2017 DA - 2017// VL - 17 ID - Naeem2017 ER - TY - JOUR TI - Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means AU - J. Pečarić AU - J. Perić JO - An. Univ. Craiova Ser. Mat. Inform. PY - 2012 DA - 2012// VL - 39 ID - Pečarić2012 ER - TY - BOOK TI - Convex functions, partial orderings, and statistical applications AU - J. E. Pečarić AU - F. Proschan AU - Y. L. Tong PB - Academic Press PY - 1992 DA - 1992// CY - Boston ID - Pečarić1992 ER - TY - JOUR TI - A refinement of Jensen's inequality AU - J. Rooin JO - J. Inequal. Pure Appl. Math. PY - 2005 DA - 2005// VL - 6 ID - Rooin2005 ER - TY - JOUR TI - Some refinements of discrete Jensen's inequality and some of its applications AU - J. Rooin JO - Nonlinear Funct. Anal. Appl. PY - 2007 DA - 2007// VL - 12 ID - Rooin2007 ER - TY - BOOK TI - Real and complex analysis AU - W. Rudin PB - McGraw-Hill Book Co. PY - 1966 DA - 1966// CY - New York ID - Rudin1966 ER -