Results 61 to 70 of about 326 (116)

New trigonometric and hyperbolic inequalities [PDF]

Math. Notes (Miskolc) 18 (2017), 125-137, 2015
The aim of this paper is to prove new trigonometric and hyperbolic inequalities, which constitute among others refinements or analogs of famous Cusa-Huygens, Wu-Srivastava, and related inequalities. In most cases, the obtained results are sharp.
arxiv   +1 more source

New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

Moroccan Journal of Pure and Applied Analysis, 2017
In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along ...
Kashuri Artion, Liko Rozana
doaj   +1 more source

On the Ostrowski type integral inequality for double integrals [PDF]

arXiv, 2010
In this note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.
arxiv  

Two sharp inequalities for trigonometric and hyperbolic functions

, 2012
We determine the best positive constants p and q such that (sinhx/x)p < x/sinx < (sinhx/x)q. Some applications for Wilker’s type inequalities are given. Mathematics subject classification (2010): 26D05, 26D07, 26D99.
Chao Chen, J. Sándor
semanticscholar   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Trigonometric and Hyperbolic Inequalities [PDF]

arXiv, 2011
We prove various new trigonometric and hyperbolic inequalities of Jordan, Wilker, Huygens or Cusa-Huygens type. Connections with bivariate means, as well as monotonicity and convexity properties are pointed out, too.
arxiv  

Ostrowski Type Fractional Integral Inequalities for S-Godunova-Levin Functions via Katugampola Fractional Integrals

, 2017
In this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Katugampola fractional integrals. We also deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractional
G. Farid, Udita N. Katugampola, Muhammad Usman   +2 more
semanticscholar   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

M. Riesz-Schur-type inequalities for entire functions of exponential type [PDF]

arXiv, 2014
We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type.
arxiv  

Generalized Huygens types inequalities for Bessel and modified Bessel functions [PDF]

arXiv, 2016
In this paper, we present a generalization of the Huygens types inequalities involving Bessel and modified Bessel functions of the first kind.
arxiv