Results 31 to 40 of about 936 (88)
Refinements of Some Recent Inequalities for Certain Special Functions
Annales Mathematicae Silesianae, 2019 The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]
, 2012 MSC 2010: 33B15, 26A51 ...
Krasniqi, Valmir, Merovci, Faton
core
On the k‐Bicomplex Gamma and k‐Bicomplex Beta Functions and Their Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k‐bicomplex Gamma and k‐bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k‐bicomplex Gamma, k‐bicomplex Beta, and k‐shifted factorial are derived. We also explore applications of the
Mohra Zayed +4 more
wiley +1 more source
Extension of complete monotonicity results involving the digamma function
Moroccan Journal of Pure and Applied Analysis, 2018 By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
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A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar +1 more
wiley +1 more source
Demonstratio MathematicaIn 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
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Sharp bounds for harmonic numbers
, 2010 In the paper, we first survey some results on inequalities for bounding harmonic numbers or Euler-Mascheroni constant, and then we establish a new sharp double inequality for bounding harmonic numbers as follows: For $n\in\mathbb{N}$, the double ...
Alzer +23 more
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An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem
, 2009 In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
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Averages of Ramanujan sums: Note on two papers by E. Alkan
, 2014 We give a simple proof and a multivariable generalization of an identity due to E. Alkan concerning a weighted average of the Ramanujan sums. We deduce identities for other weighted averages of the Ramanujan sums with weights concerning logarithms ...
Tóth, László
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Two monotonic functions involving gamma function and volume of unit ball
, 2010 In present paper, we prove the monotonicity of two functions involving the gamma function $\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\mathbb{B}^n$ in $\mathbb{R}^n$.Comment: 7 ...
Anderson G. D. +12 more
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