Extensions of Hölder’s Inequality via Pseudo-Integral

Abstract

Hölder’s inequality and its various extensions are playing very important roles in many branches of modern mathematics and physics. In this paper, we present some extensions of Hölder’s inequality via pseudo-integral. Moreover, some related Hölder type inequalities are also given.

Extensions and Applications of Power‐Type Aczél‐Vasić‐Pečarić’s Inequalities

“…Recently, the power mean has attracted of many researcher ( [16][17][18][19][20][21][22][23][24]), and many remarkable inequalities for the power mean including Hölder-type inequalities can be found in the literature [25][26][27][28][29][30]. The purpose of the article is to establish some distinctive versions of Aczél-Vasić-Pečarić's inequality (3) for power mean type.…”

Windschitl type approximation formulas for the gamma function

“…As is well known, analytic inequalities [ 43 – 45 ] play a very important role in different branches of modern mathematics. Using the theorems presented in the previous section, we can obtain some new inequalities for the gamma function and factorial function related to Windschitl’s formula.…”

The Improvement of Hölder’s Inequality with r -Conjugate Exponents Relative to the L p Liang1, Wan2 2021Mathematical Problems in Engineering0000View full textAdd to dashboardCite

“…Putting m � 2, s � 1, r � 1, and α 1j � 0, equation (11) will reduce to the mean value theorem of integrals. Furthermore, Tian et al [9,23,24] investigated the monotone relationship between adjoining exponents of…”