Optimal bounds for the generalized Euler–Mascheroni constant

Abstract

We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.

On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals

“…respectively, where Γ ( ) = ∞ 0 t -1 e -t dt is the gamma function [79][80][81][82][83][84][85][86][87]. Now, we recall the definition of k-fractional integral [88].…”

Association of Jensen’s inequality for s-convex function with Csiszár divergence

“…Recently, many generalizations and extensions have been made for the convexity, for example, s-convexity [38], strong convexity [39][40][41], preinvexity [42], GA-convexity [43], GG-convexity [44], Schur convexity [45][46][47][48][49], and others [50][51][52][53][54]. In particular, many remarkable inequalities can be found in the literature [55][56][57][58][59][60][61][62][63][64][65][66][67] via the convexity theory.…”

Delay dynamic double integral inequalities on time scales with applications

“…Due to its vast contributions in different branches of mathematics, it attracts the researchers and mathematicians to work on it. The role of inequalities cannot be forgot because they have huge contributions in the theory of differential equations , bivariate means [23][24][25][26][27][28][29][30][31], calculation and optimization [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49], special functions [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69], probability and statistics [70][71]…”