In the paper, the authors establish some integral inequalities of Hermite-Hadamard type involving the product of an s-convex function and a symmetric function and apply these new established inequalities to construct ...
详细信息
In the paper, the authors establish some integral inequalities of Hermite-Hadamard type involving the product of an s-convex function and a symmetric function and apply these new established inequalities to construct inequalities for special means. (C) 2014 Elsevier Inc. All rights reserved.
In the article, we establish an inequality for Csiszar divergence associated with s-convex functions, present several inequalities for Kullback-Leibler, Renyi, Hellinger, Chi-square, Jeffery's, and variational dis...
详细信息
In the article, we establish an inequality for Csiszar divergence associated with s-convex functions, present several inequalities for Kullback-Leibler, Renyi, Hellinger, Chi-square, Jeffery's, and variational distance divergences by using particular s-convex functions in the Csiszar divergence. We also provide new bounds for Bhattacharyya divergence.
Fractional integrals and inequalities have gained a lot of attention in recent years. By introducing innovative analytical approaches and applications, and by applying these approaches, numerous forms of inequalities ...
详细信息
Fractional integrals and inequalities have gained a lot of attention in recent years. By introducing innovative analytical approaches and applications, and by applying these approaches, numerous forms of inequalities have been examined. In this paper, we establish new identity for the twice differentiable function where the absolute value isconvex. By utilizing this identity, numerous Corrected Euler-Maclaurin-type inequalities are developed for the Caputo-Fabrizio fractional integral operator. Based on this identity, the Corrected Euler-Maclaurin-type inequalities for $s$s-convex function are obtained. By employing well-known inequalitiessuch as H & ouml;lder's and Power -Mean, we are introduced several new error bounds and estimates for Corrected Euler-Maclaurin-type inequalities. Additionally, special cases of the present results are applied to obtain the previous well-known results.
In this paper, we present Katugampola fractional parameterized inequalities for s-convex function in the fourth sense. In the first place, with the help of integration by parts method, we provide a very important iden...
详细信息
In this paper, we present Katugampola fractional parameterized inequalities for s-convex function in the fourth sense. In the first place, with the help of integration by parts method, we provide a very important identity that will be of great significance for the next research. In addition, by comprehensively making use of some important conceptssuch ass-convex function in the fourth sense, Holder's integral inequality, and the well-known power-mean inequality, we establish three new parameterized inequalities. Finally, we provide some corollaries to help readers gain a deeper understanding of the theorems and the relevant theories.
In this paper we will point out a similar inequality to Hadamard's for h-convexfunction defined on a disk. some mappings connected with this inequality and related results are also obtained. (C) 2014 Elsevier Inc...
详细信息
In this paper we will point out a similar inequality to Hadamard's for h-convexfunction defined on a disk. some mappings connected with this inequality and related results are also obtained. (C) 2014 Elsevier Inc. All rights reserved.
New ways for comparing and bounding strongly (s,m)-convexfunctions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored. These operators generalize some classic inequalities of Herm...
详细信息
New ways for comparing and bounding strongly (s,m)-convexfunctions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored. These operators generalize some classic inequalities of Hermite-Hadamard for functions with strongly (s,m)-convex derivatives. The findings are also applied to special functions and means involving the digamma function. Additionally, we relate our findings to applications in biomedicine, engineering, robotics, the automotive industry, and electronics.
In this paper, we establish some new inequalities of Hermite-Hadamard type whose derivatives in absolute value are s-convex in the second sense. Finally some applications to special means of positive real numbers are ...
详细信息
In this paper, we establish some new inequalities of Hermite-Hadamard type whose derivatives in absolute value are s-convex in the second sense. Finally some applications to special means of positive real numbers are given. (C) 2010 Elsevier Inc. All rights reserved.
In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and simpson formula using functions whose derivatives in absolute value at certain power are s-convex. some ap...
详细信息
In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and simpson formula using functions whose derivatives in absolute value at certain power are s-convex. some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved.
In this paper, we establish some new inequalities of simpson's type based on s-convexity. some applications to special means of real numbers are also given. (C) 2010 Elsevier Ltd. All rights reserved.
In this paper, we establish some new inequalities of simpson's type based on s-convexity. some applications to special means of real numbers are also given. (C) 2010 Elsevier Ltd. All rights reserved.
暂无评论