The Cauchy-Bunyakovsky-Schwarz inequality and its various refinements are very important in mathematical analysis. In this work, we first introduce an inequality of the form $$\left[f^{(n)}(x)\right]^2 \leq k(x) \sum_{k=0}^m a_k f^{(m-k)}\left(\frac{p}{r} x+q\right) \sum_{k=0}^l...
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Research Article10.9734/acri/2025/v25i31102
In this work, we introduce a new generalized Gamma function, which is named as p-v-Gamma function and provide some properties generalizing those satisfied by the classical Gamma function. We also give some convexity and monotonicity properties. Furthermore, we establish some ineq...
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Research Article10.9734/jamcs/2022/v37i430443
In this work, we firstly introduce the integral representation of the generalized p-k beta function and then employ well-known Chebychev’s and H¨older’s inequalities to obtain some inequalities on generalized p - k gamma and beta functions. Also, we show the logarithmic convexity...
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Research Article10.9734/arjom/2021/v17i430295
In this paper, some inequalities involving the extension of k-gamma function are presented. Consequently, some previous results are recovered as particular cases of the present results.
Open access
Research Article10.9734/arjom/2019/v14i430133